Let x represent the amount of frozen yogurt (in hundreds of gallons) sold by the G&T restaurant on any day during the summer. Storage limitations dictate that the maximum amount of frozen yogurt that can be kept at G&T on any given day is 250 gallons. Records of past sales indicate that the probability density function for x is approximated by y(x) = 0.32x for 0 ≤ x ≤ 2.5.

(a) What is the probability that on some summer day, G&T will sell less than 100 gallons of frozen yogurt?
(b) What is the mean number of gallons of frozen yogurt that G&T expects to sell on a summer day? (Round your answer to the nearest gallon) gal

a) The probability of selling less than 100 gallons (x≤1) is P=0.16.

b) The mean number of gallons is M=80 gallons.

Step-by-step explanation:

The probability of selling x, in hundred of gallons, on any day during the summer is y(x)=0.32x, in a range for x from [0;2.5].

The probability of selling less than 100 gallons (x≤1) is then:

The mean number of gallons can be calculated as:

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step-by-step explanation:

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36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls