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**b-**

**please answer for both and i will give thumbs up to support your work. Thank you so much**

Calculate the required probabilities for the normal distributions with the parameters specified in parts a through e. a. $μ=5,σ=2$; calculate $P(0<x<8)$. b. $μ=5,σ=3$; calculate $P(0<x<8)$. c. $μ=6,σ=2$; calculate $P(0<x<8)$. d. $μ=7,σ=5$; calculate $P(x>1)$. e. $μ=0,σ=5$; calculate $P(x>1)$.
Suppose a random variable, $x$, has a uniform distribution with $a=8$ and $b=16$. a. Calculate $P(10.5≤x≤13)$. b. Determine $P(x<12)$. c. Compute the mean, $μ$, and the standard deviation, $σ$, of this random variable. d. Determine the probability that $x$ is in the interval $(μ±3σ)$.

(a)

To calculate the probabilities for the normal distributions, we can use the standard normal distr...