Cardiovascular Disease Records show that a child of parents with heart disease h

Question

Cardiovascular Disease Records show that a child of parents with heart disease has a probability of of inheriting the disease. Assuming independence, what is the probability that, for a couple with heart disease that have two children: (a) Both children have heart disease. (b) Neither child has heart disease. (c) Exactly one child has heart disease. Quality Control Efraim Furniture Manufacturing hires two people who work independently to identify defects in workmanship. (a) If the probability an inspector misses a defective piece is 4 0.20, what is the probability both inspectors pass a defective piece of furniture? (b) How many inspectors should be hired to ensure probability of failing to identify a defective piece is than 0.01? the less

Explanation / Answer

Solution:

1) a) P(C1 C2) = 3/4 *3/4 = 9/16

b) P(C1' C2') = P(C1 C2)'

P(C1 C2) = P(C1) + P(C2) -P(C1 C2)

= 3/4 + 3/4 -9/16 = 15/16

P(C1 C2)' = 1- 15/16 = 1/16

c) (3/4) (1/4) + (1/4)(3/4) = 0.375

2) a) P = 0.20(0.20) = 0.04

b) P = 0.24n = 0.01

n = ln(0.01)/ln(0.20)
n = 2.86
So hire 2 inspectors.

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