Use the following information to determine your answers: A psychology experiment on memory was conducted which required participants to recall anywhere from 1 to 10 pieces of information. Based on many results, the (partial) probability distribution below was determined for the discrete random variable (X = number of pieces of information remembered (during a fixed time period)).
What is the missing probability P(X=7)? Your answer should include the second decimal place.
X = # information | probability:
1 | 0.0
2 | 0.02
3 | 0.04
4 | 0.07
5 | 0.15
6 | 0.18
7 | ?
8 | 0.14
9 | 0.11
10 | 0.05
I calculate the probability of 7 as 0.24 (1- sum of all other probabilities)
however I always get the below question wrong;
Given that the person recalls at least 7 pieces of information, what is the probability that they recall all 10 pieces? Please round to the second decimal place.
My logic is: P(A and B) = P(A) = P(10) = 0.05
and P(A|B) = 0.05/ P(B), 0.24 = 0.208 ~0.21
Can you help me understand what I am doing wrong, it is driving me crazy..
Thank you for your help
What is the missing probability P(X=7)? Your answer should include the second decimal place.
X = # information | probability:
1 | 0.0
2 | 0.02
3 | 0.04
4 | 0.07
5 | 0.15
6 | 0.18
7 | ?
8 | 0.14
9 | 0.11
10 | 0.05
I calculate the probability of 7 as 0.24 (1- sum of all other probabilities)
however I always get the below question wrong;
Given that the person recalls at least 7 pieces of information, what is the probability that they recall all 10 pieces? Please round to the second decimal place.
My logic is: P(A and B) = P(A) = P(10) = 0.05
and P(A|B) = 0.05/ P(B), 0.24 = 0.208 ~0.21
Can you help me understand what I am doing wrong, it is driving me crazy..
Thank you for your help