6. You have been provided the following probability distribution: | |||
Pets | P(x) | x*P(x) | (x-µ)²P(x) |
0 | 0.330 | ||
1 | 0.270 | ||
2 | 0.300 | ||
3 | 0.050 | ||
4 | 0.025 | ||
5 | 0.020 | ||
6 or more | 0.005 | ||
Let x = the total number of pets in a household |
a. Complete table | |||
b. What is the probability of a household having no pets? | |||
c. What is the probability of a household having exactly 3 pets? | |||
d. What is the probability of a household having between 1 and 3 pets? | |||
e. What is the probability of a household having more than 5 pets? | |||
f. On average, how many pets does a household have? | |||
g. Calculate the standard deviation. | |||
h. What is 1 standard deviations below the mean? | |||
i. What is 1.5 standard deviations above the mean? | |||
j. What is 3 standard deviations above the mean? |
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