4. For each of the following scenarios, determine whether the binomial distribut

Question

4. For each of the following scenarios, determine whether the binomial distribution is the appropriate distribution for the random variable X. A). X the number of phone calls received in a one-hour period. B) Ahand of 5 cards will be dealt from a standard deck of 52 cards that has been C). A roulette wheel with one bal1 in it is turned six times. Let X-the number of times D). A set of random digits are to be randomly selected from your table of random digits thoroughly shuffled. Let X- the number of hearts in the hand of 5 cards the ball lands on red (Table B). Let X-the number of random digits selected until we get 5 sevens. C) D) Use the following to answer questions 4-7 The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years. It is estimated that approximately 90% of students now own a cell phone. Fifteen students are to be selected at random from a large university. Assume that the proportion of students who own a cell phone at this university is the same as nationwide. Let X- the number of students in the sample of 15 who own a cell phone. What is the appropriate distribution for X? X is B (15,0.9) X is B (15, 13.5) On average, how many students will own a cell phone in simple random samples of 15 X is B (15,0.9) X is B (13.5, 1.16) C) D) students? B) 13 13.5 C) 6. What is the standard deviation of the number of students who own a cell phone in simple random samples of 15 students? B) 0.077 1.16 0.09 1.35 7. What is the probability that all students in a simple random sample of 15 students own a cell A) C) 0.206 D) 0.9

Explanation / Answer

4) optionC is correct ; as probability is independent from trail to trail

5)

here correct option is X is B(15,0.9 ) option A and B are same (please revert)

3)mean=np=15*0.9=13.5 option C

6) std deviation=(np(!-p))1/2 =1.16 option C

7) P(X=15) =(0.9)15 =0.206 option C

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