(Chart attached is meant for #5)

1.A quick survey of peanut butter prices had standard deviation and mean of $0.26 and $3.68, respectively. Compute the area for a peanut butter jar costing less than $3.50.

2.A quick survey of peanut butter prices had standard deviation and mean of $0.26 and $3.68, respectively. Compute the area for a peanut butter jar costing between $3.50 and $4.25.

3.Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 253 feet and a standard deviation of 56 feet.

Use your graphing calculator to answer the following questions. Write the answers inpercentform. Round your answers to the nearest tenth of a percent.

a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 216 feet?P

(fewer than 216 feet) = %

b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 228 feet?P

(more than 228 feet) = %

4.A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.2 years, and standard deviation of 3.3 years.

The 5% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place.

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