Proble 1. A four-year study of various brands of bottled water found that 30% of bottled water is just tap water packaged in a bottle. Consider a sample of four bottled-water brands, and let x equal the water packaged in a bottle. Consider a sample of four bottled-water brands, and let x equal the number of these brands that use tap water. Complete parts a) through c). a). Find P(x=0) b). Find P(x=3) c). Find P(x≤1)

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please answer all them parts. i need help

Binomial Distribution Practice Problems:
1. A four-year study of various brands of bottled water found that 30% of bottled water is just tap
water packaged in a bottle. Consider a sample of four bottled-water brands, and let x equal the water
packaged in a bottle. Consider a sample of four bottled-water brands, and let x equal the number of
these brands that use tap water. Complete parts a) through c).
a). Find P(x=0)
b). Find P(x=3)
c). Find P(x≤1)
2. Suppose that 38% of all births in a certain region take place by Caesarian section each year.
a). In a random sample of 1,000 births, how many, on average(mean), will take place by Caesarian
section?
b). What is the standard deviation of the number of Caesarian section births in a sample of 1,000
births?
3. A comprehensive report called the Statistical report on the Health of Canadians was produced in
1999. It was reported that 42% of Canadians, 12 years of age or older, had their most recent eye
examination within the previous year. If a random sample of 8 Canadians in this age group were
selected, find the probability that the selected individuals would have had their most recent eye
examinations:
a). at least one
b). at most 2
c). exactly 3
d). all of them
Transcribed Image Text:Binomial Distribution Practice Problems: 1. A four-year study of various brands of bottled water found that 30% of bottled water is just tap water packaged in a bottle. Consider a sample of four bottled-water brands, and let x equal the water packaged in a bottle. Consider a sample of four bottled-water brands, and let x equal the number of these brands that use tap water. Complete parts a) through c). a). Find P(x=0) b). Find P(x=3) c). Find P(x≤1) 2. Suppose that 38% of all births in a certain region take place by Caesarian section each year. a). In a random sample of 1,000 births, how many, on average(mean), will take place by Caesarian section? b). What is the standard deviation of the number of Caesarian section births in a sample of 1,000 births? 3. A comprehensive report called the Statistical report on the Health of Canadians was produced in 1999. It was reported that 42% of Canadians, 12 years of age or older, had their most recent eye examination within the previous year. If a random sample of 8 Canadians in this age group were selected, find the probability that the selected individuals would have had their most recent eye examinations: a). at least one b). at most 2 c). exactly 3 d). all of them
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2. please answer the remaining part 2

2. Suppose that 38% of all births in a certain region take place by Caesarian section each year.
a). In a random sample of 1,000 births, how many, on average(mean), will take place by Caesarian
section?
b). What is the standard deviation of the number of Caesarian section births in a sample of 1,000
births?
Transcribed Image Text:2. Suppose that 38% of all births in a certain region take place by Caesarian section each year. a). In a random sample of 1,000 births, how many, on average(mean), will take place by Caesarian section? b). What is the standard deviation of the number of Caesarian section births in a sample of 1,000 births?
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