The mean weight of 500 students at a certain college is 151 lb and the standard...

The mean weight of 500 students at a certain college is 151 lb and the standard deviation is 15 lb. Assume that the weights are normally distributed.
a.) How many students weigh between 120 and 155 lb? (ANSWER IN WHOLE NUMBER)

b.) What is the probability that randomly selected male students to weigh less than 128 lb? (ANSWER IN 4 DECIMAL NUMBER)

Expert Solution

P(z<Z) table :

a.

P(120 lb<=weight<=155 lb) = 0.5858

no. of students that weigh betweeen 120 and 155 lb = (total no. of students) * P(120 lb<=weight<=155 lb)

= 500*0.5858

= 292.9

= 293 (nearest whole number)

b.

P(1weight<=128 lb) = 0.0626

(please UPVOTE)

orchestra answered 1 year ago

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