According to a survey, 70% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers from 0 to 10. b. Find to 3 decimal places the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability =
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According to a survey, $70 \%$ of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let $x$ be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that $x$ can assume? b. Find the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula.
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Section 4.2: Constructing Binomial Probabilities Construct a binomial distribution and determine any values that are unusual: a) Forty-nine percent of working mothers do not have enough money to cover their health insurance deductibles. You randomly select seven working mothers and ask them whether they have enough money to cover their health insurance deductibles. The random variable x represents the number of working mothers who do not have enough money to cover their health insurance deductibles. Round to four decimal places. x | P(x) Identify any variables that you would consider unusual. Select all that apply. 0, 1, 2, 3, 4, 5, 6, 7, none
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A population of values has a normal distribution with μ=196.8 and σ=63.3. You intend to draw a random sample of size n=121. What is the mean of the distribution of sample means? μx̄. What is the standard deviation of the distribution of sample means? σx̄. Round to 4 decimal places.
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