Answer:
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Step-by-step explanation:
The formula for the probability of an exponential distribution is:
P(x < b) = 1 - e^(b/3)
Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:
p = P(x > 10)
= 1 - P(x < 10)
= 1 - (1 - e^(-10/10) )
= e⁻¹
= 0.3679
The z-score is the difference in sample size and the population mean, divided by the standard deviation:
z = (p' - p) / √[p(1 - p) / n]
= (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]
= 2.7393
Therefore, using the probability table, you find that the corresponding probability is:
P(p' ≥ 0.5) = P(z > 2.7393)
<em>P(p' ≥ 0.5) = 0.0031</em>
<em></em>
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Answer:
Jamal has 111 tickets.
Step-by-step explanation:
Start by knowing that he has 6 tickets he got previously, and then he gets 15 more tickets each time he played the game, which was 7 times.
7 x 15 + 6 = 111
Can you send a picture of the triangle. Maybe take a screen shot?
Answer:
Ratio of apple to banana is 2:1
Step-by-step explanation:
To find ratio of x type of one thing and y type of other thing we divide
x by y and ratio is written as
ratio = x:y
_________________________________
Number of banana = 2
Number of apples = 4
Ratio of apple to banana = Number of apples :Number of banana
Ratio of apple to banana = 4:2
since 4 is divisible by 2 , to get the ratio in simplest form
we divide both numerator and denominator by 2
Ratio of apple to banana = 4/2:2 /2 = 2:1
Thus,
Ratio of apple to banana is 2:1
Step-by-step explanation:
Simplify 1/125
1/125 . (x3))-1) ÷ 3
(x3
(———)-1) ÷ 3
125
3.1 x3 raised to the minus 1 st power = x( 3 * -1 ) = x-3
3.2 125 = 53 (125)-1 = (53)(-1) = (5)(-3)
x(-3)
——————— ÷ 3
(5)(-3)
x(-3)
Divide ——————— by 3
(5)(-3)
Answer: 125
/3x3
