Liza's cat had six kittens. When Liza and her brother weigh all the kittens together, they weigh 4 pounds and 2 ounces. Since al
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Using the normal distribution, there is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
For this problem, these parameters are given as follows:
A sum of 7100 is equivalent to a sample mean of 7100/40 = 177.5, which means that the probability is the <u>p-value of Z when X = 177.5</u>, hence:
By the Central Limit Theorem:
Z = -0.79
Z = -0.79 has a p-value of 0.2148.
There is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.
More can be learned about the normal distribution at brainly.com/question/28135235
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Answer:
480 pennies dated after 2000.
Step-by-step explanation:
1. Pennies dated before 1980 (x) - 25%,
All pennies (1,200) - 100%.
Then
2. Pennies dated from 1980 to 2000 (y) - 35%,
All pennies (1,200) - 100%.
Then
3. Rest pennies are dated after 2000, then