Question: Kindly send all answer in handwritten solutions: 1. Flaws occur in the interior of plastic for automobiles according to a Poisson distribution with a mean

Kindly send all answer in handwritten solutions:

1. Flaws occur in the interior of plastic for automobiles according to a Poisson distribution with a mean of 0.03 per panel.

a. What is the expected number of panels that need to be inspected before a flaw is found?

b. If 40 panels are inspected, what is the probability that there are no flaws?

c. If 40 panels are inspected, what is the probability that the number of panels that have one or more flaws is less than or equal to 2?

2. The average grade for an exam is 72, and the standard deviation is 6. If 9% of the class is given A's, and the grades are curved to follow a normal distribution:

a. Find the fifth decile.

b. What is the lowest possible A?

NOTE: THREE DECIMAL PLACES AND SEND HANDWRITTEN SOLUTIONS. THANK YOU

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