Suppose x is a normal random variable with μ = 35 and σ = 10. find p(55.5 < x < 69.7).

Step-by-step explanation:

We know that,

where,

Z = z-score,

X = raw score,

μ = mean,

σ = standard deviation.

So,

The probability of is .

Further Explanation:

The Z score of the standard normal distribution can be obtained as,

Here, Z is the standard normal value, represents the mean, represents the standard deviation.

Given:

The mean of test is .

The standard deviation of the waiting time is .

Explanation:

The probability of mean lies between 55.5 to 69.7 can be calculated as follows,

Further solve the above equation to obtain the probability.

The probability of .

The probability .

The probability can be calculated as follows.

Hence, the probability of is .

Learn more:

1. Learn more about normal distribution

2. Learn more about standard normal distribution

3. Learn more about confidence interval of mean

Answer details:

Grade: College

Subject: Statistics

Chapter: Confidence Interval

Keywords: Z-score, Z-value, binomial distribution, standard normal distribution, standard deviation, test, measure, probability, low score, mean, repeating, indicated, normal distribution, percentile, percentage, proportion, empirical rule.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

what do u need to know

step-by-step explanation: