The answer would be A.
if he lost 8 seconds off of 3 pit stops that means he lost 24 seconds. if he can’t 10 seconds for the 2 he made, he gained 20. so therefore, he is only 4 seconds behind the leader. I hope this helps :)
Answer:
The probability that exactly 15 defective components are produced in a particular day is 0.0516
Step-by-step explanation:
Probability function : 
We are given that The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20.
So,
we are supposed to find the probability that exactly 15 defective components are produced in a particular day
So,x = 15
Substitute the values in the formula :



Hence the probability that exactly 15 defective components are produced in a particular day is 0.0516
Answer:
3/12
Step-by-step explanation:
Theres 12 possibilities and she has 3 numbers which means each number has a 1 out of 12 chance of winning the prize. Molly has three numbers so she has a probability of 3/12 to win a prize.
Answer:
7.1 weeks to 68.4 weeks
Step-by-step explanation:
Chebyshev's Theorem states that:
75% of the measures are within 2 standard deviations of the mean.
89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 38.1
Standard deviation = 10.1
Between what two search times does Chebyshev's Theorem guarantee that we will find at least 89% of the graduates
Between 3 standard deviations of the mean.
So from 38.1 - 3*10.1 = 7.8 weeks to 38.1 + 3*10.1 = 68.4 weeks
Answer:
The standard error of the proportion is 0.0367.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the standard error is 
In this question:

So

The standard error of the proportion is 0.0367.