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
Galina-37 [17]
3 years ago
6

You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimat

e that there is a 80% chance that you will get into a graduate program if you receive a strong recommendation, a 60% chance that you will get into a graduate program if you receive a moderately good recommendation, and 5% chance that you will get into a graduate program if you receive a weak recommendation. Furthermore, you estimate that the probabilities that a recommendation will be strong, moderately good, and weak are 0.7, 0.2, and 0.1, respectively. Based on these estimates, what is the probability that you will get into a graduate program. Given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation? Suppose you didn't receive an offer to attend a graduate program. Given that, what is the probability that you received a moderately good recommendation?
Mathematics
1 answer:
den301095 [7]3 years ago
3 0

Answer:

a

  P(G) =  0.69

b

  P(S | G) = 0.81

c

  P(M|G') =  0.26

Step-by-step explanation:

From the question we are told the

   The probability of getting into getting into graduated school if you receive a strong recommendation is  P(G |S) = 0.80

   The probability of getting into getting into graduated school if you receive a moderately good recommendation is  P(G| M) =  0.60

   The probability of getting into getting into graduated school if you receive a weak recommendation is  P(G|W) =  0.05

   The probability of getting a strong recommendation is  P(S) =  0.7

     The  probability of receiving a moderately good recommendation is P(M) =  0.2

       The probability of receiving a weak recommendation is P(W) =  0.1

      Generally  the probability that you will get into a graduate program is mathematically represented as

     P(G) =  P(S) *  P(G|S) + P(M) *  P(G|M) + P(W) *  P(G|W)

=>   P(G) =  0.7 * 0.8 +  0.2 *  0.6 + 0.1 *  0.05

=>   P(G) =  0.69

Generally  given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

      P( S|G) =  \frac{ P(S) *  P(G|S)}{ P(G)}

=>    P(S|G) =  \frac{ 0.7 * 0.8 }{0.69}

=>     P(S | G) = 0.81

Generally given that you didn't receive an offer to attend a graduate program  the probability that you received a moderately good recommendation is mathematically represented as

        P(M|G') =  \frac{ P(M) *  (1- P(G|M))}{(1 - P(G))}

         P(M| G') =  \frac{ 0.2 *  (1- 0.6)}{ (1 - 0.69)}

         P(M|G') =  0.26

 

You might be interested in
Samuel walks in the Labor Day parade. He walks 3 1/4 miles along the parade route and 2 5/6 miles home. How many miles does Samu
Afina-wow [57]
Find a common denominator which is 12

1*3=3   4*3=12  so 3 3/12

then 5*2=10   6*2=12     so 2 10/12

2 10/12+3 3/12= 5 13/12  

13/12= 1 1/12 plus 5= 6 1/12

so your answer would be 6 1/12
3 0
3 years ago
Read 2 more answers
Answer quickkkkkkkkkkk
Hoochie [10]

Answer:

last oneeee

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Mrs. Tinsley’s favorite smoothie consists of 2 cups ice, 3 cups strawberries, and 4 cups orange juice. a. Ratio of strawberries
mamaluj [8]
3 to 4 is the ratio of strawberries to orange juice.
please give brainliest and have a great day!
4 0
3 years ago
Read 2 more answers
Given AB intersects DE at point C. prove: DCB = ECA. What is the missing reason in step 5
kicyunya [14]

Answer: the answer is linear pair

Step-by-step explanation:

5 0
3 years ago
Using the piling method, which of the following can be constructed from
vova2212 [387]
D i think ………………………..
4 0
3 years ago
Other questions:
  • Sylvie finds the solution to the system of equations by graphing. y = x + 1 and y = x – 1 Which graph shows the solution to Sylv
    7·2 answers
  • Round 614,594 to the nearest ten thousand.
    14·1 answer
  • The null hypothesis for an ANOVA is that all treatments/samples come from populations with the same mean. The alternative hypoth
    6·1 answer
  • End time 12:33pm .elapsed time 1:33 what is start time
    5·2 answers
  • Please help me find RS, PQ, PS, RQ, and PRQ
    11·2 answers
  • Help!!!!!!!! Plz I need help
    7·1 answer
  • Write an equation for the n th term of the arithmetic seqeuence. Then find a{10}. 100,110,120,130
    10·1 answer
  • How do I explain this??
    7·1 answer
  • The local ice cream parlor sells an average of 11 milkshakes a day for $3.99
    12·1 answer
  • 2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!