Use equation for binomial probability issues

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A pollster selected 4 of 10 available people. How many different groups of 4 are possible?

Your firm has a contract to make 1000 staff uniforms for a fast -food retailer. The heights of the staff are normally distributed with a mean of 69 inches and a standard deviation of 2 inches. What percentage of uniforms will have to fit staff shorter than 67 inches? What percentage will have to be suitable for staff taller than 73 inches?

a) 16% & 2.5%
b) 68% & 95%
c) 32% & 5%

The industry standards suggest that 10% of new vehicles require warranty service within the first year. A dealer sold 15 Nissans yesterday. Use equation for Binomial Probability for part a) and Table II for part b) & c). Show work!

What is the probability that none of these vehicles requires warranty service?

What is the probability that exactly one of these vehicles requires warranty service?
Determine the probability 2 or more of these vehicles require warranty service.

Compute the mean and std. dev. of this probability distribution.

Allen & Associates write weekend trip insurance at a very nominal charge. Records show that the probability a motorist will have an accident during the weekend and will file a claim I quite small (.0005). Suppose Alden wrote 400 policies for the forthcoming weekend. Compute the probability that exactly two claims will be filed using the equation for Poisson Probability.

Note: The symbol λ is the mean (expected value) which we used as μ = np. So λ is nothing more than the mean number of occurrences (successes = np) in a particular interval.

Get the probability that the number of claims is 0, 1, 3 & 4 from Table III.

Given a standard normal distribution, determine the following. Show Table Values used in each part.

a) P(Z<1.32) =
b) P(Z>1.32) = c) P(Z< -1.32) =
d) P(-0.30<Z<0)=
e) P(0.51<Z<2.0)=

A company is considering offering child care for their employees. They wish to estimate the mean weekly child-care cost of their employees. A sample of 10 employees reveals the following amounts spent last week in dollars.

107 92 97 95 105 101 91 99 95 104

Develop a 90% confidence interval for the population mean. Interpret the result.
=??, S=??, =??, Range of = (??)

The National Safety Council reported that 52 % of American turnpike drivers are men. A sample of 300 cars traveling southbound on the New Jersey Turnpike yesterday revealed that 170 were driven by men. At the .01 significance level, can we conclude that a larger proportion of men were driving on the New Jersey Turnpike than the national statistics indicate? First, state H0 & Ha

HO:., Ha:
Is this a Z or t test:
Test Statistic =
Critical value =
p-value =
Reject Ho: (yes or no)

Given the hypothesis: H0: μ≥20 & Ha: μ<20, a random sample of five resulted in the following values: 18, 15, 12, 19, & 21. Using the .01 significance level, can we conclude the population mean is less than 20?

Is this a Z or t test?
Test statistic = ?
Critical value = ?
Reject Ho: (yes or no)

Reference no: EM13801555

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