Write a script in R to compute the following probabilities of a normal random variable with mean 16 and variance 9
a) lies between 14.4 and 20.3 (inclusive)
```{r}
#INSERT YOUR ANSWER HERE
```
b) is greater than 21.8
```{r}
#INSERT YOUR ANSWER HERE
```
c) is less or equal to 10.5
```{r}
#INSERT YOUR ANSWER HERE
```
d) is less than 13 or greater than 19
```{r}
#INSERT YOUR ANSWER HERE
```
Write a script in R to compute the following probabilities of a normal random variable with...
R studio #Exercise : Calculate the following probabilities : #1. Probability that a normal random variable with mean 22 and variance 25 #(i)lies between 16.2 and 27.5 #(ii) is greater than 29 #(iii) is less than 17 #(iv)is less than 15 or greater than 25 #2.Probability that in 60 tosses of a fair coin the head comes up #(i) 20,25 or 30 times #(ii) less than 20 times #(iii) between 20 and 30 times #3.A random variable X has Poisson...
13. Given that z is a standard normal random variable, compute the following probabilities a. P(-1.98 z .49) b. P(.52szs 1.22) c. P(-1.75-z<-1.04)
Assume z is a standard normal random variable. Compute the following probabilities.a. P(–1.33 ≤ z ≤ 1.67)b. P(1.23 ≤ z ≤ 1.55)c. P(z ≥ 2.32)d. P(z ≥ –2.08) e. P(z ≥ –1.08)
3.1 There is a random variable X with observations {X1,X2, ..., Xn). It is known that these observations follow the normal distribution with mean μ and variance σ2. Which of the following will lead to a standard normal distribution? (a) (X-A)/o (b) (X- )/a2 (c) (X + μ)/o2 (d) (X + μ)/σ 3.2 In standard normal distribution, 99.7% of observations lie in the range between 3.3 A cumulative distribution function of a random variable Xis by definition a probability that...
Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean value 11.0 kips and standard deviation 1.25 kips. Compute the following probabilities by standardizing and then using a standard normal curve table from the Appendix Tables. (Round your answers to four decimal places.) How do you standarize? P(X less than or equal to 11) P(X less than or equal to 13.5) P(X greater than or equal to 4.75)...
19.) The random variable X follows a Poisson process with the given mean. Assuming mu=3, compute the following. a.) P(5) b.) P(x<5) c.) P(X greater than or equal to 5) d.) P(5 less than or equal X less than or equal to 8)
1. Given that z is a standard normal random variable, compute the following probabilities. a. P(Z < 1.38) b. P(z 2 1.32) c. P(-1.23 Sz5 1.23)
Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals). P(-1.95 ≤ z ≤ 0.44) P(0.57 ≤ z ≤ 1.29) P(-1.73 ≤ z ≤ -1.04)
Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals). P(-1.98z 0.49) а. b. P(0.54z 1.26) P(-1.76z-1.07) C.
Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals). P(-1.93 ≤ z ≤ 0.44) P(0.59 ≤ z ≤ 1.27) P(-1.74 ≤ z ≤ -1.05)