1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bogdan [553]
3 years ago
7

A professor's son, having made the wise decision to drop out of college, has been finding his way in life taking one job or anot

her, leaving when his creativity is overly stifled or the employer tires of his creativity. The professor dutifully logs the duration of his son's last few careers and has determined that the average duration is normally distributed with a mean of sixty-six weeks and a standard deviation of ten weeks. The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?
Mathematics
1 answer:
Trava [24]3 years ago
6 0

Answer:

88.88% probability that it endures for less than a year and a half

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 66, \sigma = 10

The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?

One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.

So this probability is the pvalue of Z when X = 78.21.

Z = \frac{X - \mu}{\sigma}

Z = \frac{78.21 - 66}{10}

Z = 1.22

Z = 1.22 has a pvalue of 0.8888

88.88% probability that it endures for less than a year and a half

You might be interested in
Which of the following is not a perfect square?<br> A. 50<br> B. 49<br> C. 121<br> D. 1
luda_lava [24]
50 is not a perfect square because it doesn’t have a square root.

Hope this helped :)
6 0
3 years ago
Read 2 more answers
If someone could plz help. p÷5=3.
klio [65]

Answer:

p=2

Step-by-step explanation:

so how to find this u take the five and three and u subtract them both and whatever is left over that is your answer

4 0
2 years ago
24 pack of cans 2 for 9 dollars what is the ratio of the number of cans to the price
ki77a [65]
Each can is 4.50 and the 24 pack is $108
8 0
3 years ago
Read 2 more answers
A tree house costs $400. You plan to save $10 each week. Your parents will help pay $60 of the cost. Your savings plan can be mo
lisabon 2012 [21]
If it is in the form of y=mx+b then the answer would be y=34x+60
5 0
3 years ago
Read 2 more answers
What is answer for 6/14 in fractions
iVinArrow [24]
6/14 simplified is 3/7
Hope this helps!

3 0
3 years ago
Read 2 more answers
Other questions:
  • Given: g(x) = x - 4 and h(x) = 2x - 8,
    11·1 answer
  • Arjun can type 40 words per minute.Dalia can type 55 words per minute.If Arjun and Dalia each type for 30 minutes,about how many
    10·2 answers
  • When constructing inscribed polygons and perpendicular lines, how are the steps similar?
    10·2 answers
  • Select the point that is a solution to the system if inequalities yx^2-6
    10·1 answer
  • Assignment
    11·1 answer
  • Put in order from least to greater3/8,3/4,5/6,1/2
    14·1 answer
  • what is the probability of rolling 15 with a pair of dice? answer in likely, unlikely, equally likely, or impossible
    8·1 answer
  • A linear function is given by the equation y=4x. Using the points x and x+1, show that the y-values increase by 4 between any tw
    14·1 answer
  • Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.
    5·1 answer
  • look for numbers in place of the letters such that the following mathematical expression hold PRQ/3=OV UVW/6=OV MNO/9=OV​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!