Round each to the nearest cent. $1,145.343 and $264.5176
2 answers:
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Answer:
The expected repair cost is $3.73.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of defectives among the 4 items sold.
The probability of a large lot of items containing defectives is, <em>p</em> = 0.09.
An item is defective irrespective of the others.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 9 and <em>p</em> = 0.09.
The repair cost of the item is given by:
Compute the expected cost of repair as follows:
Compute the expected value of <em>X</em> as follows:
The expected value of <em>X</em> is 0.36.
Compute the variance of <em>X</em> as follows:
The variance of <em>X</em> is 0.3276.
The variance can also be computed using the formula:
Then the formula of is:
Compute the value of as follows:
The expected repair cost is:
Thus, the expected repair cost is $3.73.
Answer:
b) 95%
Step-by-step explanation:
We have been given that scores on an approximately bell shaped distribution with a mean of 76.4 and a standard deviation of 6.1 points. We are asked to find the percentage of the data that is between 64.2 points and 88.6 points.
First of all, we will find z-scores of each data point as:
Let us find z-score corresponding to normal score 88.6.
To find the percentage of the data is between 64.2 points and 88.6 points, we need to find area under a normal distribution curve that lie within two standard deviation of mean.
The empirical rule of normal distribution states that approximately 95% of data points fall within two standard deviation of mean, therefore, option 'b' is the correct choice.