Send help 1, what is the probability of getting exactly six heads in ten coin to

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1, what is the probability of getting exactly six heads in ten coin tosses? LA0 A quality control expert at a large factory estimates that 10% of all batteries produced are defective, If he takes a random sample of fifteen batteries, 2. a. what is the probability that exactly two are defective? : 20.5% b. what is the probability that no more than two are defective? .Lo 3. What is the pro bability that a family with six children has more than two girls? Assume that the gender of one child is independent of the gender of any of the other children. 4. Suppose that 20% of the programs sold at the home games of a professional sports team during the course of one season contain a special discount coupon. If all eight friends in your g bought programs at one game, what is the probability that at least half of your friends received the discount coupon? 5. What is the probability of rolling a die ten times and obtaining odd digits on eight of the rolls?

Explanation / Answer

Solution:-

1) The probability of getting exactly six heads in ten coin tosses is 0.2051.

Probability of getting heads = p = 0.50

n = 10

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 6) = 0.2051.

2)

a) The proabability that exactly two are defective is 0.267.

p = 0.10, n = 15, x = 2

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 2) = 0.267

b) The probability that no more than two are defective is 0.816.

p = 0.10, n = 15, x = 2

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x < 2) = 0.816

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