find the mean of the given porobbility distribution the number of golf balls ordered by customers of a pro shop has the following probability distribution x3 6 9 12 15 P(x) 0.14 0.05 0.36 0.35 0.10
sum of x values = 45
3*.14 + 6*.05 + 9*.36 + 12*.35 + 15*.1 = 9.66
9.66/45 = .215
that 6 , .05 point looks like either a typo or an outlier
To find the mean of the given probability distribution, we need to multiply each value of x by its respective probability (P(x)), and then sum them up.
Let's calculate the mean step-by-step:
1. Multiply each value of x by its respective probability:
(3 * 0.14) + (6 * 0.05) + (9 * 0.36) + (12 * 0.35) + (15 * 0.10)
2. Simplify the calculations:
0.42 + 0.30 + 3.24 + 4.20 + 1.50
3. Add up the results:
9.66
Therefore, the mean of the given probability distribution is 9.66.
To find the mean of a probability distribution, we multiply each value by its probability and then sum them up. Let's calculate the mean step by step:
1. Multiply each value (x) by its probability (P(x)):
- 3 * 0.14 = 0.42
- 6 * 0.05 = 0.30
- 9 * 0.36 = 3.24
- 12 * 0.35 = 4.20
- 15 * 0.10 = 1.50
2. Sum up the results:
0.42 + 0.30 + 3.24 + 4.20 + 1.50 = 9.66
3. Finally, divide the sum by the total number of values:
9.66 / 5 = 1.932
Therefore, the mean of the given probability distribution is 1.932.