The expected value is -$0.33.
The probability of winning is 1/6. The probability of losing is 5/6.
If you win, your prize is 10-2 = 8, since you paid $2 to pay the game. If you lose, you lose the $2 you spent.
The expected value would be the probability of winning, 1/6, multiplied by the winnings, 8, added to the probability of losing, 5/6, multiplied by the loss, -2:
1/6*8 + 5/6(-2) = 8/6 - 10/6 = -2/6 = -0.33
Answer:
see explanation
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
Thus ∠D = ∠A and substituting values
2x = x + 31 ( subtract x from both sides )
x = 31
Hence
∠A = x + 31 = 31 + 31 = 62
∠D = 2x = 2 × 31 = 62
Answer:
b. the area to the right of 2
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.
In this problem:




Percentage who did better:
P(Z > 2), which is the area to the right of 2.
Answer:
0.0027 - zero-point-zero-zero-twenty-seven
Step-by-step explanation:
7 in a half hrs everyday for 5 days equal 37.5 hrs