MAT211 University of Arizona Standard Normal Distribution Calculus Questions

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MAT211

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12/1/2019 8.5 - MAT 211, section Tuesday, Fall 2019 | WebAssign Assignment Submission & Scoring Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your last submission is used for your score. 1. –/1 points WaneFMAC7 9.5.005. My Notes Ask Your Teacher Z is the standard normal distribution. Find the indicated probability. HINT [See Example 1.] (Round your answer to four decimal places.) P(−0.71 ≤ Z ≤ 1.31) 2. –/1 points WaneFMAC7 9.5.006. My Notes Ask Your Teacher Z is the standard normal distribution. Find the indicated probability. HINT [See Example 1.] (Round your answer to four decimal places.) P(−1.62 ≤ Z ≤ 0.1) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398680 2/6 12/1/2019 3. 8.5 - MAT 211, section Tuesday, Fall 2019 | WebAssign –/1 points WaneFMAC7 9.5.007. My Notes Ask Your Teacher Z is the standard normal distribution. Find the indicated probability. HINT [See Example 1.] (Round your answer to four decimal places.) P(0.6 ≤ Z ≤ 1.5) 4. –/1 points WaneFMAC7 9.5.009. My Notes Ask Your Teacher X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 44, σ = 10, find P(34 ≤ X ≤ 69) 5. –/1 points WaneFMAC7 9.5.010. My Notes Ask Your Teacher X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 39, σ = 20, find P(34 ≤ X ≤ 41) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398680 3/6 12/1/2019 8.5 - MAT 211, section Tuesday, Fall 2019 | WebAssign –/1 points 6. WaneFMAC7 9.5.013. My Notes Ask Your Teacher X has a normal distribution with the given mean and a standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 105, σ = 15, find P(108 ≤ X ≤ 129) –/1 points 7. WaneFMAC7 9.5.015. My Notes Ask Your Teacher Find the probability that a normal variable takes on values within 0.8 standard deviations of its mean. (Round your decimal to four decimal places.) –/1 points 8. WaneFMAC7 9.5.019. My Notes Ask Your Teacher Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 3. Find b such that P(100 ≤ X ≤ b) = 0.3. HINT [See Example 3.] (Round your answer to one decimal place.) b= https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398680 4/6 12/1/2019 8.5 - MAT 211, section Tuesday, Fall 2019 | WebAssign –/1 points 9. WaneFMAC7 9.5.021. My Notes Ask Your Teacher Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10. Find a such that P(X ≥ a) = 0.04. (Round your answer to one decimal place.) a= 10. WaneFMAC7 9.5.036. –/1 points My Notes Ask Your Teacher LSAT test scores are normally distributed with a mean of 150 and a standard deviation of 6. What score would place you in the top 2% of test-takers? HINT [See Example 3.] (Round your answer to the nearest whole number.) 11. –/1 points WaneFMAC7 9.5.017. Find the probability that a normal variable takes on values more than My Notes 3 5 Ask Your Teacher standard deviations away from its mean. (Round your answer to four decimal places.) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398680 5/6 12/1/2019 12. 8.5 - MAT 211, section Tuesday, Fall 2019 | WebAssign –/1 points WaneFMAC7 9.5.039. My Notes Ask Your Teacher Your pickle company rates its pickles on a scale of spiciness from 1 to 12. Market research shows that customer preferences for spiciness are normally distributed, with a mean of 7.5 and a standard deviation of 1. Assuming that you sell 20,000 jars of pickles, how many jars with a spiciness of 9 or above do you expect to sell? (Round your answer to the nearest whole number.) jars Submit Assignment Home My Assignments Copyright https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398680 Save Assignment Progress Extension Request 2019 Cengage Learning, Inc. All Rights Reserved 6/6
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