Answer:
a) 0.778
b) 0.9222
c) 0.6826
d) 0.3174
e) 2 drivers
Step-by-step explanation:
Given:
Sample size, n = 5
P = 40% = 0.4
a) Probability that none of the drivers shows evidence of intoxication.
b) Probability that at least one of the drivers shows evidence of intoxication would be:
P(X ≥ 1) = 1 - P(X < 1)
c) The probability that at most two of the drivers show evidence of intoxication.
P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)
d) Probability that more than two of the drivers show evidence of intoxication.
P(x>2) = 1 - P(X ≤ 2)
![= 1 - [^5C_0 (0.4)^0 (0.6)^5 + ^5C_1 (0.4)^1 (0.6)^4 + ^5C_2 * (0.4)^2 (0.6)^3]](https://tex.z-dn.net/?f=%20%20%3D%201%20-%20%5B%5E5C_0%20%20%280.4%29%5E0%20%20%280.6%29%5E5%20%2B%20%5E5C_1%20%20%280.4%29%5E1%20%20%280.6%29%5E4%20%2B%20%5E5C_2%20%2A%20%280.4%29%5E2%20%20%280.6%29%5E3%5D%20)
e) Expected number of intoxicated drivers.
To find this, use:
Sample size multiplied by sample proportion
n * p
= 5 * 0.40
= 2
Expected number of intoxicated drivers would be 2
Answer: The cost of each game is $2.50
Step-by-step explanation:
Let's find the equations for each friend:
Friend 1:
Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:
$3 + 3*X
Friend 2:
This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:
$0.50 + 4*X
And we know that both friends pay the exact same amount, then we can write:
$3 + 3*X = $0.50 + 4*X
And solve this for X.
We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:
$3 - $0.50 = 4*X - 3*X
$2.50 = (4 - 3)*X = X
This means the cost of each game is $2.50
(X - 4 ) x 2 = X
You subtract X from four then you get your answer next to multiply your answer by two resulting in an answer….. the answer is the expression I wrote above.
Answer:
$31.37 is the sale price
Step-by-step explanation:
All you need to do to find the discount price (sale price) is multiply the price of the item by the decimal form of the percentage.
1. Store A. 40% off the original price of $159.99
63.996 is the discount price we are looking for
2. Store B. 25% off the original price of $130.50
32.625 is the discount price we are looking for
3. Now to find their difference you just subtract the two values.
The discount price (sale price) is $31.371
Answer:
yes
Step-by-step explanation:
