Assume the random variable x is normally distributed with mean μ = 80 and standard deviation σ = 4. Find the indicated probability. P(x < 72) = (round to four decimal places as needed).

0.2278

Step-by-step explanation:

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation

z => 72 - 80/4

= -2

Probability value from Z-Table:

P(x ≤ 72) = P(x = 72) => P(x < 72)

0.02275

Approximately =>0.2278

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

ion

step-by-step explanation:

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