Answer:
13.4%
Step-by-step explanation:
Use binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Here, n = 16, r = 2, p = 0.25, and q = 0.75.
P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²
P = 120 (0.25)² (0.75)¹⁴
P = 0.134
There is a 13.4% probability that exactly 2 students will withdraw.
Answer:
253.548 minutes which rounds to 254 minutes
Step-by-step explanation:
1 hour = 60 minutes
4.2258 × 60 minutes = number of minutes per 4.2258 hours
253.548 minutes
The question does not specify how to round it so I will round to the nearest whole number: 254 minutes.
Answer:
Norma performed best on the aptitude test and should be offered the job.
Step-by-step explanation:
We are given that three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 74.7; this version has a mean of 61.7 and a standard deviation of 13. Norma got a score of 351; this version has a mean of 291 and a standard deviation of 25. Vincent got a score of 7.38; this version has a mean of 6.9 and a standard deviation of 0.4.
Now, to find which of the applicants should be offered the job, we have to find the z-score of each of the applicants, and the one who gets the highest z-score will get the job.
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= mean and
= standard deviation
Firstly, we will find the z-score for Tobias;
The z-score of 74.7 =
=
= 1
Now, we will find the z-score for Norma;
The z-score of 351 =
=
= 2.4
Now, we will find the z-score for Vincent;
The z-score of 7.38 =
=
= 1.2
As we can clearly see that the z-score is highest for Norma which means that Norma performed best on the aptitude test and should be offered the job.