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If a variable x is having its value equal to the exponential function of another variable w, i.e. “x=exp⁡(w)”, and w has normal distribution; the distribution of x is called _______

If a variable x is having its value equal to the exponential function of another variable w, i.e. “x=exp⁡(w)”, and w has normal distribution; the distribution of x is called _______ Correct Answer Lognormal distribution

For a random variable x, which has “x=exp⁡(w)” where w is having a normal distribution; the distribution of such a random variable x, is said to be the Lognormal distribution. It is a continuous distribution.

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Seven people A, B, C, D, E, F and G live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor is numbered 7. Each one of these having a different cars-Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo but not necessarily in the same order. Only three people live above the floor on which A lives. Only one person lives between A and the one having a car Cadillac. F lives immediately below the one having a car Bedford. The one having a car Bedford lives on an even-numbered floor. Only three people live between the ones having a car Cadillac and Maruti. E lives immediately above C. E is not having a car Maruti. Only two people live between B and the one having a car Fargo. The one having a car Fargo lives below the floor on which B lives. The one having a car Fiat does not live immediately above D or immediately below B. D does not live immediately above or immediately below A. G does not have a car Ambassador. Question : How many people live between the floors on which D and the one having a car Bedford ?
Read the following passage carefully and choose the most appropriate answer to the question out of the four alternatives.
Most economists in the United States seem captivated by the spell of the free market. Consequently, nothing seems good or normal that does notaccord with the requirements of the free market. A price that is determined by the seller or, for that matter (for that matter: so far as that isconcerned), established by anyone other than the aggregate of consumers seems pernicious. Accordingly, it requires a major act of will to thinkof price-fixing (the determination of prices by the seller) as both "normal" and having a valuable economic function. In fact, price-fixing is normalin all industrialized societies because the industrial system itself provides, as an effortless consequence of its own development, the price-fixingthat it requires. Modern industrial planning requires and rewards great size. Hence, a comparatively small number of large firms will be competingfor the same group of consumers. That each large firm will act with consideration of its own needs and thus avoid selling its products for morethan its competitors charge is commonly recognized by advocates of free-market economic theories. But each large firm will also act with fullconsideration of the needs that it has in common with the other large firms competing for the same customers.
What does not seem as not good or normal in the context of this essay?
Read the following passage carefully and choose the most appropriate answer to the question out of the four alternatives.
Most economists in the United States seem captivated by the spell of the free market. Consequently, nothing seems good or normal that does notaccord with the requirements of the free market. A price that is determined by the seller or, for that matter (for that matter: so far as that isconcerned), established by anyone other than the aggregate of consumers seems pernicious. Accordingly, it requires a major act of will to thinkof price-fixing (the determination of prices by the seller) as both "normal" and having a valuable economic function. In fact, price-fixing is normalin all industrialized societies because the industrial system itself provides, as an effortless consequence of its own development, the price-fixingthat it requires. Modern industrial planning requires and rewards great size. Hence, a comparatively small number of large firms will be competingfor the same group of consumers. That each large firm will act with consideration of its own needs and thus avoid selling its products for morethan its competitors charge is commonly recognized by advocates of free-market economic theories. But each large firm will also act with fullconsideration of the needs that it has in common with the other large firms competing for the same customers. Price-fixing is a phenomenon that is normal in -
Statement I Exponential probability distribution has the mean = $$\frac{1}{\mu }$$ and variance = $$\frac{1}{{{\mu ^2}}}$$
Statement II The mean, median and mode do not coincide in the normal distribution.
Statement III The binomial distribution is symmetrical for any value of p (probability of success).
In an opencast mine, dumpers arrive at a shovel location with an average arrival rate of 12 per/hour. The inter-arrival times of the dumpers follow an exponential distribution. The service times of the shovel also follow an exponential distribution with an average of 3 minute. The average waiting time of a dumper in the queue in minutes is
Read the following passage carefully and choose the most appropriate answer to the question out of the four alternatives.
Most economists in the United States seem captivated by the spell of the free market. Consequently, nothing seems good or normal that does notaccord with the requirements of the free market. A price that is determined by the seller or, for that matter (for that matter: so far as that isconcerned), established by anyone other than the aggregate of consumers seems pernicious. Accordingly, it requires a major act of will to thinkof price-fixing (the determination of prices by the seller) as both "normal" and having a valuable economic function. In fact, price-fixing is normalin all industrialized societies because the industrial system itself provides, as an effortless consequence of its own development, the price-fixingthat it requires. Modern industrial planning requires and rewards great size. Hence, a comparatively small number of large firms will be competingfor the same group of consumers. That each large firm will act with consideration of its own needs and thus avoid selling its products for morethan its competitors charge is commonly recognized by advocates of free-market economic theories. But each large firm will also act with fullconsideration of the needs that it has in common with the other large firms competing for the same customers. Who, according to the economists, are the right group of people to set the price of a commodity?
Read the following passage carefully and choose the most appropriate answer to the question out of the four alternatives.
Most economists in the United States seem captivated by the spell of the free market. Consequently, nothing seems good or normal that does notaccord with the requirements of the free market. A price that is determined by the seller or, for that matter (for that matter: so far as that isconcerned), established by anyone other than the aggregate of consumers seems pernicious. Accordingly, it requires a major act of will to thinkof price-fixing (the determination of prices by the seller) as both "normal" and having a valuable economic function. In fact, price-fixing is normalin all industrialized societies because the industrial system itself provides, as an effortless consequence of its own development, the price-fixingthat it requires. Modern industrial planning requires and rewards great size. Hence, a comparatively small number of large firms will be competingfor the same group of consumers. That each large firm will act with consideration of its own needs and thus avoid selling its products for morethan its competitors charge is commonly recognized by advocates of free-market economic theories. But each large firm will also act with fullconsideration of the needs that it has in common with the other large firms competing for the same customers. A major act of will will bring about price-fixing that will be seen as -
Read the following passage carefully and choose the most appropriate answer to the question out of the four alternatives.
Most economists in the United States seem captivated by the spell of the free market. Consequently, nothing seems good or normal that does notaccord with the requirements of the free market. A price that is determined by the seller or, for that matter (for that matter: so far as that isconcerned), established by anyone other than the aggregate of consumers seems pernicious. Accordingly, it requires a major act of will to thinkof price-fixing (the determination of prices by the seller) as both "normal" and having a valuable economic function. In fact, price-fixing is normalin all industrialized societies because the industrial system itself provides, as an effortless consequence of its own development, the price-fixingthat it requires. Modern industrial planning requires and rewards great size. Hence, a comparatively small number of large firms will be competingfor the same group of consumers. That each large firm will act with consideration of its own needs and thus avoid selling its products for morethan its competitors charge is commonly recognized by advocates of free-market economic theories. But each large firm will also act with fullconsideration of the needs that it has in common with the other large firms competing for the same customers. Selling a commodity at a price that is not more than that charged by competitors is -
Let X be a random variable following normal distribution with mean +1 and variance 4. Let Y be another normal variable with mean -1 and variance unknown. If P(X ≤ -1) = P(Y ≥ 2) the standard deviation of Y is
A random variable X has an exponential distribution with probability distribution function is given by f(x)= 3e-3x for x>0 = 0 otherwise Find probability that X is not less than 2.