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Blackboard > X C Remaining Time: 13 minutes, 34 seconds. Question Completion Status Less than half of the tim 60 9 10 11 6 17 18 10 A Moving to another question will save this response. Question 9 of Question 9 Use the following to answer the next three questions. 1 points Save A The probability that a student is accepted by a prestigious number of these eight students that are accepted to this university. The foll ppose eight students are randomly selected from the state of Virginia. Let the random variable X represent the owing table presents the probability distribution for this binomial random variable. 0 2 4 6 P(X-x) 22222 0.3355 0.2936 0.1468 0.0458 0.0091 0.0011 0.0001 0.0000 What is the probability that exactly zero students get accepted in this sample of eight? 0.2000 e b. 0.8320 Oc. 0.3355 e d. 0.1680 Activate Windows Go to SOuestion 9 of 30 A Moving to another question will save this response. Close Window

Answer 1

Using Binomial probability law

with n= 8 , p = 0.20

X~ Binomial

$\dpi{100} P(X=x)= \binom{8}{x}0.2^{x}(1-0.2)^{8-x}$

Therefore ,

$\dpi{100} P(X=0)= \binom{8}{0}0.2^{0}(1-0.2)^{8-0}$

= 0.1680

Answer is (d) 0.1680