1. The following probability distribution represents the number of people living in a Household (X), and...

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Statistics

1. The following probability distribution represents the numberof people living in a Household (X), and the probability ofoccurrence (P(X)). Compute the Expected Value (mean), the Varianceand the Standard Deviation for this random variable. Show YourCalculations for the Mean.

    X     1        2       3         4       5               

P(X)    .33      .29     .27       .07       .04     

2. Use the binomial formula to compute the probability of astudent getting 8 correct answers on a 10 question Quiz, if theprobability of answering any one question correctly is 0.64.SHOW YOUR WORK.

3. Submit your answers to the following binomial questions. Youmay use the appendix table B #5 to answer parts (a) and (b).According to a government study, 20% of all children live in ahousehold that has an income below the poverty level. If a randomsample of 15 children is selected:

a) what is the probability that 6 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?

Answer & Explanation Solved by verified expert
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1Expected value Calculation Expected value Ex 22Variance    See Answer
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