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Chapter 5: Q 19. (page 247)
Two random variables, X and Y, have standard deviations 2.4 and 3.6, respectively. Which one is more likely to take a value close to its mean? Explain your answer.
X is more likely to take a value close to its mean.
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An ordinary deck of playing cards has 52 cards. Three are four suits_ spade heart , diamond and club with 13 card in each suit. Spade and clubs are black heart and diamond are red. One of these cards is selected at random. Let R denote the event that a red is chosen . Find the probability that a red card is chosen, and express your answer in probability that a red card is chosen and express your answer in probability natation
Coin Tossing. When a dime is tossed four times , there are the following 16 possible outcomes.
Here, for example, HTTH represents the outcomes that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. List the outcomes constituting each of the following four events.
A = event exactly two heads are tossed,
B = event the first two tosses are tails,
C = event the first toss is heads,
D = event all four tosses come up the same.
Suppose thatE is an event. Use probability notation to represent
(a) the probability that event E occurs.
(b) the probability that event Eoccurs is 0.436
Following are two probability histograms of binomial distributions. For each, specify whether the success probability is less than, equal to, or greater than 0.5.
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