Unit 8 – using statistics in science
M1 - Perform a calculation using probability to investigate a scientific problem
A scientist growing two different microorganisms knows that the probability of growing type A is
0.3 and the probability of growing type B is 0.5 and P(AǀB) = 0.25. Find:
P(A|B)
Event A happening, given that event B has already happened
P( A ∩ B)
P( A∨B)=
P( B)
0.125
P( A∨B)=
0.5
P ( A|B )=0.25
P(A∩B)
Probability of both A and B both happening
P ( A ∩B )=P ( B ) × P( A∨B)
P ( A ∩B )=0.5 ×0.25
P ( A ∩B )=0.125
P(A∪B)
Probability of either A or B happening
P ( A ∪ B ) =P ( A )+ P ( B )−P ( A ∩ B )
P ( A ∪B ) =0.3+0.5−0.125
P ( A ∪ B ) =0.675
…………………………………………………………………………………………………………………………………………………….
Thank you for previewing the example, feel free to buy the singular task, or the Unit 8 bundle xxx
M1 - Perform a calculation using probability to investigate a scientific problem
A scientist growing two different microorganisms knows that the probability of growing type A is
0.3 and the probability of growing type B is 0.5 and P(AǀB) = 0.25. Find:
P(A|B)
Event A happening, given that event B has already happened
P( A ∩ B)
P( A∨B)=
P( B)
0.125
P( A∨B)=
0.5
P ( A|B )=0.25
P(A∩B)
Probability of both A and B both happening
P ( A ∩B )=P ( B ) × P( A∨B)
P ( A ∩B )=0.5 ×0.25
P ( A ∩B )=0.125
P(A∪B)
Probability of either A or B happening
P ( A ∪ B ) =P ( A )+ P ( B )−P ( A ∩ B )
P ( A ∪B ) =0.3+0.5−0.125
P ( A ∪ B ) =0.675
…………………………………………………………………………………………………………………………………………………….
Thank you for previewing the example, feel free to buy the singular task, or the Unit 8 bundle xxx
