Question

The probability that a male’s foot is between 10 and 12. 5 inches is ___% P(10

Answer 1

The probability of a foot of male being between 10 and 12. 5 inches is 59%.

Define the term normal distribution?

• The normal distribution approximates any real-valued random distribution which clusters around one single mean value.
• A cumulative frequency is a procedure that determines if the total amount of information in such a data set is less than and equal to a specific value.

The z score of the distribution is found as-

z = (x - μ)/σ

In which,

μ = mean = (11)

σ = standard distribution (1.5)

The likelihood that a male's foot measures between 10 and 12. 5 inches.

P(10 < x < 12.5)

For x = 10

z = (10 - 11) / 1.5

z = -0.67

check the p-value fro z score table.

p (z = -0.67) = 0.2514

For x = 12.5

z = (1.5 - 11)/1.5

z = 1

p (z = 1) = 0.8413

P(10 < x < 12.5)  = 0.8413 - 0.2514

P(10 < x < 12.5)  = 0.5899

P(10 < x < 12.5)  = 58.99%

P(10 < x < 12.5)  = 59%.

Thus, the likelihood of a male's foot being between 10 and 12. 5 inches is 59%.

To know more about the normal distribution, here

brainly.com/question/4079902

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