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Chapter 6: Q. 77 (page 404)

77. Blood types Refer to Exercise 75. How surprising would it be to get more than 4 adults with type O blood in the sample? Calculate an appropriate probability to support your answer.

Short Answer

Expert verified

The probability is greater than 5%, it is not unlikely to obtain more than 4adults with blood type鈼�is P(x>4)=0.1402=14.02%and so the result is not surprising.

Step by step solution

01

Concept introduction

The proportion of the number of outcomes in a total group of similarly probable effects that supply a particular event to the complete number of potential products is known as probability in statistics.

02

Explanation

Given:
n=7
p=0.44
Let's use the Binomial Probability:
P(X=k)=nk脳pk脳(1鈭�p)n鈭�k

P(X=5)=75脳(0.44)5脳(0.66)7鈭�5鈮�0.10861

P(X=6)=76脳(0.44)5脳(0.66)7鈭�6鈮�0.0284

P(X=7)=77脳(0.44)7脳(0.66)7鈭�7鈮�0.00321

P(x>4)=P(x=5)+P(x=6)+P(x=7)=0.0186+0.0284+0.0032=0.1402=14.02%

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