Question

7. Suppose annual snowfall in Big Bear City is normally distributed with mean average of 58 inches ($\mu$ = 58) and standard deviation of 10 inches ($\sigma$ = 10). What's the probability that a randomly selected year has more than 70 inches of snowfall? P ($x \ge$ 70) (6 pts) 8. Test scores had a mean of 100 ($\mu$ = 100) points and standard deviation of 15 ($\sigma$ = 15). If 25 students ($n$ = 25) are randomly selected, find the probability that their sample mean ($\bar{x}$) score is less than 104 points: P ($\bar{x} \le$ 104). Assume test scores follow a normal distribution. (9 pts)

          7.
Suppose annual snowfall in Big Bear City is normally distributed with mean average of 58 inches
($\mu$ = 58) and standard deviation of 10 inches ($\sigma$ = 10). What's the probability that a randomly selected
year has more than 70 inches of snowfall? P ($x \ge$ 70)
(6 pts)
8.
Test scores had a mean of 100 ($\mu$ = 100) points and standard deviation of 15 ($\sigma$ = 15). If 25
students ($n$ = 25) are randomly selected, find the probability that their sample mean ($\bar{x}$) score is less than
104 points: P ($\bar{x} \le$ 104). Assume test scores follow a normal distribution.
(9 pts)

7.
Suppose annual snowfall in Big Bear City is normally distributed with mean average of 58 inches
(μ = 58) and standard deviation of 10 inches (σ = 10). What's the probability that a randomly selected
year has more than 70 inches of snowfall? P (x ≥ 70)
(6 pts)
8.
Test scores had a mean of 100 (μ = 100) points and standard deviation of 15 (σ = 15). If 25
students (n = 25) are randomly selected, find the probability that their sample mean (x̅) score is less than
104 points: P (x̅≤ 104). Assume test scores follow a normal distribution.
(9 pts)

Added by Roger B.

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