Xhas a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

=42,= 10, findP(32X67)

Xhas a normal distribution with the given mean and standard deviation. Find the indicated probability. HINT [See Quick Example 1.] (Round your answer to four decimal places.)

=80,= 10, findP(52X91)

Xhas a normal distribution with the given mean and a standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

=92,= 15, findP(107X131)

Find the probability that a normal variable takes on values within0.3standard deviations of its mean. (Round your decimal to four decimal places.)

Find the probability that a normal variable takes on values more than25

standard deviations away from its mean. (Round your answer to four decimal places.)

SAT test scores are normally distributed with a mean of 500 and a standard deviation of 100. Find the probability that a randomly chosen test-taker will score between450and550. HINT [See Example 3.] (Round your answer to four decimal places.)

LSAT test scores are normally distributed with a mean of147and a standard deviation of4. Find the probability that a randomly chosen test-taker will score between143and151. (Round your answer to four decimal places.)