7 of 10 Based on a poll, 60% of adults believe in reinc ation Assume that 4 adul

Question

7 of 10 Based on a poll, 60% of adults believe in reinc ation Assume that 4 adults are randon selected, and d the dicated o abey Comp te a ts- th hig ba . a. What is the probability that exactly 3 of the selected adults believe in reincarnation? The probability that exactly 3 of the 4 adults believe in reincamation is Round to three decimal places as needed.) b. What is the probability that all of the selected adults believe in reincamation? The probablity that all of the selected adults believe in reincamation is Round to three decimal places as needed) c. What is the probability that at least 3 of the selected aduts believe in reincamation? The protability that at least 3 of the selected adults believe in reincamation is Round to three decimal places as needed) d. f 4 adults are randomly selected, is 3 a significantly high number who believe in reincarnation? O A. Yes, because the probability that 3 or more of the selected adults believe in reincamation is less than 0.06. O B. No. because the probability that 3 or more of the selected adults believe in reincamation is less than 0.05 ° C. No, because the probabity that 3 or more of the selected adults believe in reincarnation is greater than 0.05 n n. Yas herause the nmhabilitv that 3 nr mare nf the salectaif acdults helieve in teincamatinn is areatar than D 05 Click to select your answerts) Save tor Later O Type here to search

Explanation / Answer

Solution:-

a) The probability that exactly 3 of the selected adults believe in reincarnation is 0.3456.

p = 0.60, n = 4

x = 3

By applying binomial distribution:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 3) = 0.3456

b) The probability that all of the selected adults believe in reincarnation is 0.1296.

p = 0.60, n = 4

x = 4

By applying binomial distribution:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 4) = 0.1296

c) The probability that atleast 3 of the selected adults believe in reincarnation is 0.4752.

p = 0.60, n = 4

x = 3

By applying binomial distribution:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x > 3) = 0.4752

d) (D) Yes, becuase the probability that 3 or more of the selected adults believe in reincarnation is greater than 0.05.

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