Find the indicated z score. The graph depicts the standard normal distribution w

Question

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 0.8340 Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is between negative 2.03- and 3.97 and draw a sketch of the region.

Explanation / Answer

A) P(Z > z) = 0.8340

Or, 1 - P(Z < z) = 0.8340

Or, P(Z < z) = 0.166

Or, z = -0.97

B) P(Z > z) = 0.1379

Or, 1 - P(Z < z) = 0.1379

Or, P(Z < z) = 0.8621

Or, z = 1.09

C) the graph given in the choice is not clear.

I hope the correct choice will be Option-C)

P(-2.03 < Z< 3.97) = P(Z < 3.97) - P(Z < -2.03)

= 0.9999 - 0.0212

= 0.9787

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