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deedee363
07.07.2019 •
Mathematics
The 100-meter race times at a state track meet are normally distributed with a mean of 14.62 seconds and a standard deviation of 2.13 seconds. using the standard normal probabilities table, what is the approximate probability that a runner chosen at random will have a 100-meter time less than 15.5 seconds? a.0.1894 b. 0.3409 c. 0.6591 d. 0.7910 e. 0.8106
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Ответ:
To solve this problem, we use the t statistic. The formula for z score is:
z = (x – u) / s
where x is the sample value = 15.5 seconds or below, u is the sample mean = 14.62 seconds, s is standard dev = 2.13 seconds
z = (15.5 – 14.62) / 2.13
z = 0.41
Using standard distribution tables at z = 0.41, the value of P is:
P = 0.6591 = 65.91%
Hence there is a 65.91% chance the runner will have less than 15.5 seconds of time
c. 0.6591
Ответ:
f(x)= x^2 +4= 20
Step-by-step explanation:
the answer is 20 the explanation is there bye