STAT 230 Week 8 Quiz 2 Solution Correct Answers

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STAT 230 Week 8 Quiz 2Solution Correct Answers1. A pollster selected 4 of 7 available people. How many different groups of 4 arepossible?2. Your firm has a contract to make 2000 staff uniforms for a fast–food retailer. Theheights of the staff arenormally distributed with a mean of 70 inches and a standarddeviation of 3 inches. What percentage of uniforms will have to fit staff shorter than67inches? What percentage will have to be suitable for staff taller than 76 inches.?3. The industry standards suggest that 20% of new vehicles require warranty servicewithin the first year. A dealer sold 20 Nissans yesterday. Use equation for BinomialProbability for part a) and Table II for part b) & c). Show work!a) What is the probability that none of these vehicles requires warranty service? Use theBinomial equation for P(X=0).b) What is the probability that exactly one of these vehicles requires warranty service?c) Determine the probability 3 or more of these vehicles require warranty service.d) Compute the mean and std. dev. of this probability distribution.4. Allen & Associates write weekend trip insurance at a very nominal charge. Recordsshow that the probability a motorist will have an accident during the weekend and willfile a claim is quite small (.0005). Suppose Alden wrote 400 policies for the forthcomingweekend. Compute the probability that exactly two claims will be filed using the equationfor Poisson Probability.Note: The symbolλis the mean (expected value) which we used asμ= np. Soλisnothing more than the mean number of occurrences (successes = np) in a particularinterval.Get the probability that the number of claims is at least 3 from Poisson Tables.5. Given a standard normal distribution, determine the following. Show Table Valuesused in each part.a) P(Z<1.4)=b) P(Z>1.4)= 1-P(Z<1.4) =c) P(Z<-1.4)=d) P(-0.50<Z<1.0)=e) P(0.50<Z<1.5)=

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