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Example: A random man and a random woman are chosen. What is the approximate probability that...

Example: A random man and a random woman are chosen. What is the approximate probability that there will be at least a two-inch difference in their heights? [Women approx. N(64, 2.4) inches, Men approx. N(70, 2.8) inches]

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Answer #1

Let M be the heights of men

Let W be the heights of women

We are given:

M ~  N(70, 2.8)

W ~ N(64, 2.4)

Also,

We need to find the probability:

The following information has been provided:

μ=6, σ=2.2803508502

We need to compute The corresponding z-value needed to be computed is:

Therefore, we get that

The following is obtained graphically:

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

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