Chapter 5: Q 18. (page 247)
A random variable X has mean 3.6. If you make a large number of repeated independent observations of the random variable X, the average value of those observations will be approximately .
The average value of those observations will be approximately 3.6.
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Give two examples of Bernoulli trials other than those presented in the text.
A, B, and C are mutually exclusive events such that and . Find .
Die and coin. Consider the following random experiment : First , roll a die and observe the number of dots facing up: then toss a coin the number of times that the die shows and observe the total number of heads. Thus , if the die shows three dots facing up and the coin (which is then tossed tree times) comes up heads exactly twice, then the outcome of the experiment can be represent as (3,2).
Part (a) Determine a sample space for this experiment.
Part (b) Determine the events that the total number of heads is even.
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.
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
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