whiteshawn02
14.11.2019 •
Mathematics
Suppose only 75% of all drivers in a certain state regularly wear a seat belt. a random sample of 500 drivers is selected. what is the probability that a. between 360 and 400 (inclusive) of the drivers in the sample regularly wear a seat belt? b. fewer than 400 of those in the sample regularly wear a seat belt? devore, jay l.. probability and statistics for engineering and the sciences (p. 169). cengage learning. kindle edition.
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Ответ:
a. 0.93449
b. 0.99506
Step-by-step explanation:
Given : The proportion of all drivers in a certain state regularly wear a seat belt : p=0.75
Sample size : n=500
Let x be the random variable that represents the number of drivers in a certain state regularly wear a seat belt.
Then ,
a. The probability that between 360 and 400 (inclusive) of the drivers in the sample regularly wear a seat belt :
∴ The probability that between 360 and 400 (inclusive) of the drivers in the sample regularly wear a seat belt= 0.93449
b. The probability that fewer than 400 of those in the sample regularly wear a seat belt :-
∴ The probability that fewer than 400 of those in the sample regularly wear a seat belt = 0.99506
Ответ:
Equation: 48t + 265 = 553
t = 6
Step-by-step explanation:
48t + 265 = 553
48t = 228
t = 228/48
t = 6