Please help me to solve this.

Pressure gauges manufactured by Precision Corp. must be checked for accuracy before being placed on the market. To test a pressure gauge, a worker uses it to measure the pressure of a sample of compressed air known to be at a pressure of exactly 50 pounds per square inch. If the gauge reading is off by more than 1% (0.5 pounds), the gauge is rejected. Assuming that the reading of a pressure gauge under these circmnstances is a normal random variable with mean 50 and standard deviation 0.5, nd the percentage of gauges rejected. To nd this probability, you need to compute the following integral, which the probability that a gauge will be accepted: 50-5 955022 P(49-5 S X S 505) = le_ mg)? 49.5 0'5 V 2" You are not able to compute this integral directly, so you will need to estimate it. As a team you will need to make some choices. [11 order to earn full credit, your estimate will need to be accurate to within 2 decimal places. You can increase the accuracy of your estimate by either choosing a larger number of suhintervals or using a more accurate method [such as the trapezoidal sum). Check with your instructor to see if your answer is accurate enough before you submit your assignment. Number of subintervals: Type of sum ('LHS, RHS, MP5, or TS): Ax: List your intervals: Estimate the integral: 50.5 _ 2 _5x 50! _l_e gays? 2". 0.5V23't 49.5 To nd the probability that a gauge will be rejected, you need to subtract your estimate above from 1. Probability that the gauge will be rejected