Mathematics: Among the thirty largest U.S. cities, the mean one-way commute time to work is 25.8 minutes. The longest one-way travel time is in New York City, where the mean time is 38.3 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.5 minutes. 1. What percent of the New York City commutes are for less than 30 minutes? (Round your intermediate calculations and final answer to 2 decimal places.)2. What percent are between

given the diagram of parallelogram lmno, solve for r. a. 15 b. 25 c. 30 d. 120...

Among the thirty largest U.S. cities, the mean one-way

Winzen07

23.06.2020

1) 13.35%

2) 46.35%

3) 72.45%

Step-by-step explanation:

Mean time(m) = 38.3 minutes

standard deviation(s) = 7.5 minutes

we would be using this formula $z=\frac{x-m}{s}$ , z is z score and x is the raw score

1. What percent of the New York City commutes are for less than 30 minutes?

$z=\frac{30-38.3}{7.5}=-1.11$

P(x < 30) = P(z < -1.107) = 0.1335 = 13.35%

2. What percent are between 30 and 35 minutes?

For 30 minutes, $z=\frac{30-38.3}{7.5}$ = -1.11

For 35 minutes, $z=\frac{35-38.3}{7.5}$ = -0.44

P(30<x<35) = P(-1.107<z<-0.44) = 0.1335 + 0.33 = 0.4635= 46.35%

3. What percent are between 30 and 40 minutes

For 30 minutes, $z=\frac{30-38.3}{7.5}$ = -1.11

For 40 minutes, $z=\frac{40-38.3}{7.5}$ = 0.23

P(30<x<40) = P(-1.107<z<0.23) = 0.1335 + 0.5910 = 0.7245 = 72.45%

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