**Problem 44:** In a normal distribution with \( \mu = 300 \) and \( \sigma = 40 \), find the data value equal to:a) \( P_{85} \)b) \( P_{35} \)c) \( P_{70} \)d) The first decile.e) The third quartile.f) The sixth decile.**Explanation:**This problem involves finding specific percentile values in a normal distribution characterized by a mean (\( \mu \)) of 300 and a standard deviation (\( \sigma \)) of 40. You are asked to calculate the data values corresponding to certain percentiles (e.g., 85th, 35th, 70th) and deciles/quartiles such as the first decile, the third quartile, and the sixth decile. To find these values, you would typically use the Z-score formula and standard normal distribution tables or software to determine the corresponding data points.

μ=300,σ=40Note: According to bartelby question answer guidelines an expert can solve only three…

Answered: 44. In a normal distribution with u =…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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44. In a normal distribution with u = 300 and σ = 40 find the data value equal to: a) P85. b) P35- c) P70-