Question 20 please thank hou
1 answer:
You might be interested in
Answer:
a) 0.3874
b) 0.3874
c) 0.1722
d) Mean and Standard Deviation = 0.9
Step-by-step explanation:
This is binomial distribution problem that has formula:
Here p is probability of success = 10% = 0.1
q is probability of failure, that is 90% = 0.9
n is total number, which is 9, so n = 9
a)
The probability that none requires warranty is r = 0, we substitute and find:
Probability that none of these vehicles requires warranty service is 0.3874
b)
The probabilty exactly 1 needs warranty would change the value of r to 1. Now we use the same formula and get our answer:
This probability is also the same.
Probability that exactly one of these vehicles requires warranty is 0.3874
c)
Here, we need to make r = 2 and put it into the formula and solve:
Probability that exactly two of these vehicles requires warranty is 0.1722
d)
The formula for mean is
Mean = n * p
The formula for standard deviation is:
Standard Deviation =
Hence,
Mean = 9 * 0.1 = 0.9
Standard Deviation =
Answer:
Step-by-step explanation:
The upside down exclamation point(¡) denotes the subfactorial in math. There are two ways to approach solving the subfactorial, one being exact, while the other is a more practical approach.
One way (the mathematically correct way) is using the formula:
n=n!∑[(-1)^k]/k!, where k starts at 0 and counts to n.
However, another, less accurate way is simply ¡n = [n!/e], where the brackets mean to round to the nearest integer, which returns 2.25268983 * 10^(103)
Hope it helps :) and let me know if you want me to elaborate, or if the notation used was intended to be something else, as the subfactorial of 72 seems like an unnecessary amount of tedium.