Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.06 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

84%

Step-by-step explanation:

The Empirical rule formula states that:

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Mean = 8.06

Standard deviation = 1.52

Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

Using the first rule if Empirical formula

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

μ + σ

= 8.06 + 1.52 = 9.58

This satisfies one side of the distribution, hence:

100 - 68%

= 32%

P(x >9.58) = 32%/2 = 16%

Hence,the percentage of American women have shoe sizes that are less than 9.58 is

P(x < 9.58) = 100 - 16%

= 84 %

cosine

step-by-step explanation:

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.