Question: Show code for R and calculate the probability for each of the events: (a) A standard normally distributed variable is larger than 3. (b) A

Show code for R and calculate the probability for each of the events:

(a) A standard normally distributed variable is larger than 3.

(b) A normally distributed variable with mean 35 and standard deviation 6 is larger than 42.

(c) Getting 10 out of 10 successes in a binomial distribution with probability 0.8.

(d) X < 0.9 when X has the standard uniform distribution.

(e) X > 6.5 in a chi-squared distribution with 2 degrees of freedom.

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