Which command will calculate P(X>1.2) when X∼N(3,4)?Group of answer choices1-pnorm(1.2,3,4,lower.tail=F)pnorm(1.2,3,2,lower.tail=F)pnorm(1.2,3,2)qnorm(1.2,3,4)1-pnorm(1.2,3,4)

The correct command to calculate P(X>1.2) when X∼N(3,4) is 1-pnorm(1.2,3,4).

Here's why:

1. The function pnorm() in R is used to calculate the cumulative distribution function (CDF) for a normal distribution. The CDF gives the probability that a random variable is less than or equal to a certain value.

2. The parameters of the pnorm() function are (x, mean, sd), where x is the value you're interested in, mean is the mean of the normal distribution, and sd is the standard deviation.

3. In this case, X follows a normal distribution with mean 3 and standard deviation 4 (X∼N(3,4)), and we want to find the probability that X is greater than 1.2 (P(X>1.2)).

4. Since pnorm() gives the probability that X is less than or equal to a certain value, we need to subtract the result from 1 to get the probability that X is greater than 1.2.

5. Therefore, the correct command is 1-pnorm(1.2,3,4).

The other commands are incorrect because they either use the wrong standard deviation (2 instead of 4), calculate the probability that X is less than 1.2 (pnorm(1.2,3,4)), or calculate the quantile function (qnorm(1.2,3,4)), which is not what we want.