<h3>
Answer: $7.60</h3>
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Work Shown:
1/500 = 0.002 is the probability of winning $390
3/500 = 0.006 is the probability of winning $230
16/500 = 0.032 is the probability of winning $170
Multiply the probabilities with their respective winnings
0.002*390 = 0.78
0.006*230 = 1.38
0.032*170 = 5.44
Then add up those results
0.78+1.38+5.44 = 7.60
which is the expected value.
Side note: This game is not a fair game because mathematically a "fair game" is defined as such where the expected value is 0; ie, neither the player nor the dealer win and things break even.
Answer:
0.75 miles cause 66x60 = 3960 and there are 5280 feet in a mile so 3960 divided by 5280= 0.75
Step-by-step explanation:
The answer is the third one
A. 1.395
2.31 - 0.915 = 1.395
Answer:
0.2005
Step-by-step explanation:
Mean, m = 65000
Standard deviation, σ= 7000
Sample size, n = 25
Let X = random variable of salary
Recall:
Z = (μ - x) /(σ/√n)
P(62500 ≤ x ≤ 64000) =?
Pr((65000 - 62500)/7000/√25 ≤ z ≤ (65000 - 64000) / 7000/√25)
P(2500 / 1400 ≤ z ≤ 1000/1400)
P = (1.79 ≤ z ≤ 0.714)
Using the normal distribution table or a Z probability calculator
0.4633 - 0.2624
= 0.2009