What is the probability that a randomly selected car

Assignment Help Basic Statistics

Reference no: EM132403025

Questions -

Q1. Determine the area under the standard normal curve that lies to the left of (a) Z = 1.37, (b) Z = -1.65, (c) Z = -1.37, and (d) Z = -0.14.

Q2. Determine the area under the standard normal curve that lies to the right of (a) Z = -1.51, (b) Z = -0.54, (c) Z - 1.61, and (d) Z = 0.45.

Q3. Determine the area under the standard normal curve that lies between (a) Z = -0.88 and Z = 0.88, (b) Z = -0.94 and Z = 0, and (c) Z = -1.75 and Z = - 0.55.

Q4. Find the z-score such that the area under the standard normal curve to the left is 0.49.

Q5. Find the Z-score such that the area under the standard normal curve to the right is 0.45.

Q6. Find the Z-scores that separate the middle 30% of the distribution from the area in the tails of the standard normal distribution.

Q7. Find the value of z_α.

z_0.07

Q8. Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.

P(X > 38)

Q9. Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.

P(34 < X < 62)

Q10. Assume that the random variable X is normally distributed, with mean μ = 67 and standard deviation σ = 10. Compute the probability P(55 < X ≤ 70). Be sure to draw a normal curve with the area corresponding to the probability shaded.

Draw a normal curve with the area corresponding to the probability shaded.

Q11. Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. Find the 67th percentile.

Q12. The mean incubation time for a type of fertilized egg kept at a certain temperature is 19 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days. Complete parts (a) through (e) below.

(a) Draw a normal model that describes egg incubation times of these fertilized eggs.

(b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 15 days

(d) Find and interpret the probability that a randomly selected fertilized egg hatches between 17 and 19 days.

(e) Would it be unusual for an egg to hatch in less than 13 days Why?

Q13. A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 157.3 seconds. Assuming drive-through times are normally distributed with a standard deviation of 33 seconds, complete parts (a) through (d) below.

(a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 111 seconds?

(b) What is the probability that a randomly selected car will spend more than 207 seconds in the restaurant's drive-through?

(d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why?

Q14. A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 149.2 seconds. Assuming drive-through times are normally distributed with a standard deviation of 31 seconds, complete parts (a) through (d) below.

(a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 110 seconds?

(b) What is the probability that a randomly selected car will spend more than 202 seconds in the restaurant's drive-through?

(d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why?

Q15. The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon.

(a) What proportion of hybrids gets over 61 miles per gallon?

(b) What proportion of hybrids gets 52 miles per gallon or less?

(d) What is the probability that a randomly selected hybrid gets less than 45 miles per gallon?

Q16. The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 19 minutes and a standard deviation of 2.5 minutes.

(a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price?

(b) If the automotive center does not want to give the discount to more than 2% of its customers, how long should it make the guaranteed time limit?

Reference no: EM132403025

Questions Cloud

Operations management tool application reflection write-up : Review the tools, concepts, and theories of Operation Management where you discuss which course tools, concepts,

What is abc cost of equity after transaction : Assuming its cost of debt remains at 5%, what is ABC's cost of equity after this transaction?

What is the present value of the maturity cash flow : Given the following semiannual-pay bond:Corporate Bond, non-callable, Matures in 10 years, 5% Annual Coupon, YTM 7%, purchases $1,000 in Face Value.

What will be next year dividend : If it's the company's policy to always maintain a constant growth rate in its dividends, what will be next year's dividend?

What is the probability that a randomly selected car : What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 110 seconds

What will be the dividend in year 5 : Bravo Company just paid an annual dividend of $2.00 per share and has announced that future dividends will increase by 3 percent annually.

Summary of the challenges of the current operational process : Summary of the challenges of the current operational process. Describe the current and expected long-term impact of these challenges if they are not addressed.

What is the size of the special dividend : What is the size of the special dividend that Rockford can pay shareholders instead of the repurchase?

Isabella construction and interior design : Isabella Construction and Interior Design is an all-equity company in Central Michigan. The CFO John Thornton Jr. is considering moving

User Account

All Pages