A car manufacturer struggles with quality problems. Maximum speeds of 500 cars manufactured in the factory (rounded to the nearest 0.5 mph) are approximately normally distributed with mean 171.5 mph and standard deviation 7.8 mph. Apply Normal approximation on discrete observations to calculate the following values. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The number of cars that are expected to have a maximum speed less than 153.0 mph is 5. (Round to the nearest integer.) (b) The number of cars that are expected to have a maximum speed between 168.5 and 180.0 mph (both inclusive) is N (Round to the nearest integer.) (c) The number of cars that are expected to have a maximum speed equal to 172.0 mph is (Round to the nearest integer.) (d) The number of cars that are expected to have a maximum speed greater than or equal to 187.0 mph is. (Round to the nearest integer.)

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.