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.
![P(x=0) = ^nC_x P^x (1-P)^n^-^x](https://tex.z-dn.net/?f=%20P%28x%3D0%29%20%3D%20%5EnC_x%20P%5Ex%20%281-P%29%5En%5E-%5Ex)
![P(x=0) = ^5C_0 (0.4)^0 (1-0.4)^5^-^0](https://tex.z-dn.net/?f=P%28x%3D0%29%20%3D%20%5E5C_0%20%20%280.4%29%5E0%20%281-0.4%29%5E5%5E-%5E0)
![P(x=0) = ^5C_0 (0.4)^0 (0.60)^5](https://tex.z-dn.net/?f=%20P%28x%3D0%29%20%3D%20%5E5C_0%20%280.4%29%5E0%20%280.60%29%5E5)
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)
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
Circumference = PI x Diameter
circumference of tire = 3.14 x 1.1 = 3.454 feet
so every full turn of the tire the bike travels 3.454 feet
110 feet / 3.454 = 31.8 turns
Hello!
Mode :
![\fbox{it is the frequently occurIng value in the given set of observation}](https://tex.z-dn.net/?f=%5Cfbox%7Bit%20is%20the%20frequently%20occurIng%20value%20in%20the%20given%20set%20of%20observation%7D)
Given observations are :-
22,40,21,18,47,22,19
Now , mode =
![\fbox{22}](https://tex.z-dn.net/?f=%5Cfbox%7B22%7D)
The answer is 22 as it appears two times in the given set of observations.
Hope this is clear :)
Have a good day:)
Answer:
at 8 pm the temperature will be -9 degrees. and at midnight the temperature will be negitive twenty one(-21) degrees
Step-by-step explanation:
the start time is 12 pm and finish is 12 am and every hour your going to subtract 3 from the given degree so 15-3= 12 , 12-3=9 ect.