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3. Provide an appropriate response. Use the Standard Normal Table to find the pr

ID: 3316212 • Letter: 3

Question

3. Provide an appropriate response. Use the Standard Normal Table to find the probability Q test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individuar's 1Q score is found to be 90. Find the z-score corresponding to this value. O B. 0.67 O C.-0.67 O D. 1.33 36. Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual's IQ score is found to be 120. Find the z-score corresponding to this value. OA 0.67 OC. -0.67 O D. 1.33 37. Provide an appropriate response. Use the Standard Normal Table to find the probability. The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting more than 300 days. OA 0.9834 O B. 0.2375 C. 0.3189 O D. 0.0166 38. Provide an appropriate response. Use the Standard Normal Table to find the probability. An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approamately normal with-15.5 and : 3.6. what is the probability that during a given week the airline will lose more than 20 suitcases? OA 0.4040 OB. 0.8944 C C. 0.1056 OD, 0.3944

Explanation / Answer

35) Z = (X - mean) /sd = (90 - 100)/15 = - 0.67

Option-C)

36) Z = (120 - 100)/15 = 1.33

Option-D) 1.33

37) P(X > 300) = P(Z > (268 - 300)/15)

= P(Z > - 2.13)

= 1 - P(Z < - 2.13)

= 1 - 0.0166

= 0.9834

Option-A) 0.9834

38) P(X > 20) = P(Z > (20 - 15.5)/3.6)

= P(Z > 1.25)

= 1 - P(Z < 1.25)

= 1 - 0.8944

= 0.1056

Option-C) 0.1056

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