A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ= 1.1 kg and a standard deviation of σ = 4.4 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 0.2658. (Round to four decimal places as needed.) b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.)arrow_forwardAssume 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>36) Which of the following normal curves corresponds to P(X>36)? A. 36 50 A normal curve has a horizontal axis with two labeled coordinates, 36 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 36 and 50. The area under the curve between the vertical line segments is shaded. B. 36 50 A normal curve has a horizontal axis with two labeled coordinates, 36 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 36 and 50. The area…arrow_forwardUse the calculator provided to solve the following problems. • Consider a t distribution with 13 degrees of freedom. Compute P(121.66) Round your answer to at least three decimal places. 圖 • Consider at distribution with 21 degrees of freedom. Find the value of such that P(-carrow_forwardNonearrow_forwardM MyOpenMath Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. If one car is randomly chosen, find the probability that it is traveling more than 66 mph. Sin... c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph. d. 60% of all cars travel at least how fast on the freeway? mph.arrow_forwardDetermine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.005 with 7 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.025 with 16 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.02 with 22 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 90% confidence. Assume 9 degrees of freedom. (Round to three decimal places as needed.)arrow_forwardFor the population whose distribution is Uniformly distributed from 30 to 52, random samples of size n = 39 are repeatedly taken. Compute u and round to two decimals. Use this value to find the following. Round answers to three decimals if needed. Answers of 0 and 1 are possible due to rounding. a. P(40 < < 43): b. The 25th percentile for sample means: Submit Questionarrow_forwardConsider a t-distribution with 9 degrees of freedom. Find the t-value so that the area to the right of t is 0.285. Question Help: Post to forum Submit Questionarrow_forward6.2/3arrow_forwardarrow_back_iosarrow_forward_ios
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- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON