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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○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×pk×(1−p)n−k

P(X=5)=75×(0.44)5×(0.66)7−5≈0.10861

P(X=6)=76×(0.44)5×(0.66)7−6≈0.0284

P(X=7)=77×(0.44)7×(0.66)7−7≈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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