Let 𝑍 be a standard normal random variable. Use the Standard Normal Distribution Table in Learn to find the probability below to four decimal places.

Standardised Normal DistributionA normally distributed random variable X is converted to Z. Find P(Z < 1).Note: Report the answer as a number rounded off to two digits after the decimal point

Let’s say the random variable X is normally distributed with µ = 35 and σ = 5. Find P(25 < X < 50), i.e., the probability of the variable taking a value between 25 and 50. (Report the answer as a number rounded off to two digits after the decimal point.)Note: You’re not expected to know the right answer at this point. This question is given just to get you thinking in the right direction.

If the following probability distribution is valid, what is P(X=4)? k 1 2 3 4P(X=k) 0.07 0.07  0.04   Please give your answer to 2 decimal places.

Suppose a normal distribution has a mean of 62 and a standard deviation of 4. What is the probability that a data value is between 57 and 65? Round your answer to the nearest tenth of a percent.A.69.8%B.67.8%C.68.8%D.66.8%SUBMITarrow_backPREVIOUS

The probability that a normal random variable is less than its mean is ______.Multiple ChoiceCannot be determined0.01.00.5