se the binomial formula to compute the probability of a student getting 8 correct answers on a 10 question Quiz, if the probability of answering any one question correctly is 0.76. SHOW YOUR WORK.

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2. Use the binomial formula to compute the probability of a student getting 8 correct answers on a 10 question Quiz, if the probability of answering any one question correctly is 0.76. SHOW YOUR WORK.

3. Submit your answers to the following binomial questions. You may use the appendix table B.1 to answer parts (a) and (b). According to a government study, 20% of all children live in a household that has an income below the poverty level. If a random sample of 15 children is selected:

a) what is the probability that 5 or more live in poverty?

b) what is the probability that 5 live in poverty?

c) what is the expected number (mean) that live in poverty? What is the variance? What is the standard deviation?

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Obtain the probability of a student getting 8 correct answers on a 10 question Quiz.

 

The probability of a student getting 8 correct answers on a 10 question Quiz is obtained below as follows:

 

Let X denotes the number of correct question on a quiz which follows binomial distribution with the probability of success 0.76 and the random sample of 10 questions has been randomly selected. That is, n=10,p=0.76.

 

That is, n=10,p=0.76, q=0.24(=1–0.76).

 

The probability distribution is given by,

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