Statistics Through Applications
Statistics Through Applications
2nd Edition
ISBN: 9781429219747
Author: Daren S. Starnes, David Moore, Dan Yates
Publisher: Macmillan Higher Education
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Chapter 8.3, Problem 8.53E

(a)

To determine

To calculate the probability that all seven people have type O blood.

(a)

Expert Solution
Check Mark

Answer to Problem 8.53E

  0.0032

Explanation of Solution

Binomial theorem:

  P(X=k)=Cnk×pk×(1p)nk

  n=7,k=7p=0.44

   P(X=7)= C 7 7 × (0.44) 7 × (10.44) 77 = (0.44) 7 =0.0032=0.32%

(b)

To determine

To calculate the probability that exactly four of those selected have type O blood.

(b)

Expert Solution
Check Mark

Answer to Problem 8.53E

  0.2304

Explanation of Solution

Binomial theorem:

  P(X=k)=Cnk×pk×(1p)nk

  n=7,k=4p=0.44

   P(X=4)= C 7 4 × (0.44) 4 × (10.44) 74 =35× (0.44) 4 × (0.56) 3 =0.2304=23.04%

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Statistics Through Applications

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