Answer:
230,300 different selections.
Step-by-step explanation:
If the order does not matter, the number of possible different selections is determined as the combination of choosing four numbers out of 50:
There are 230,300 possible different selections.
Answer:
a) P ( X = 2 ) = 0.23028
b) P ( X < 4 ) = 0.95689
c) P ( X ≥ 3 | X ≥ 2 ) = 0.38292
Step-by-step explanation:
Given:-
- The parameter for the poisson distribution is given, λ = 1.3.
- Declare a random variable (X) which is the number of books sold in the next minute:
X ~ Po (1.3)
Find:-
a) What's the probability that the store will sell 2 books in the next minute? b) What's the probability that the store will sell less than 4 books in the next minute? c) What's the probability that the store will sell at least 3 books in the next minute given that it sells at least 2 books in the next minute?
Solution:-
a) The required probability P ( X = 2 ). Can be computed by using the pmf for the poisson distribution:
Where, "k" is the number of books sold in next minute.
- Now compute P ( X = 2 ) :
b) The required probability P ( X < 4 ). Can be computed by using the pmf for the poisson distribution and summing individual terms from 0 - 3:
c) The required probability P ( X ≥ 3 | X ≥ 2 ). We have to consider the conditional probability as follows:
P ( X ≥ 3 | X ≥ 2 ) = P ( X ≥ 3 & X ≥ 2 ) / P (X ≥ 2 )
= P ( X ≥ 3 ) / P (X ≥ 2 )
= P ( X > 2 ) / P ( X > 1 )
= [ 1 - P ( X ≤ 2 ) ] / [ 1 - P ( X ≤ 1 ) ]
- Compute P ( X ≤ 2 ) & P ( X ≤ 1 ) using pmf:
P ( X ≤ 2 ) = 0.27253 + 0.35429 + 0.23028
= 0.8571
P ( X ≤ 1 ) = 0.27253 + 0.35429
= 0.62682
- Use the expression developed for conditional probability to evaluate the required probability:
P ( X ≥ 3 | X ≥ 2 ) = [ 1 - P ( X ≤ 2 ) ] / [ 1 - P ( X ≤ 1 ) ]
= [ 1 - 0.8571 ] / [ 1 - 0.62682 ]
= 0.38292
Answer:
The first thing you do is make the denominators equal on both sides.
Step-by-step explanation:
As a example if you have the equation:
+
=
you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10
this would make the equation
next you have to do the same with the numerator.
so sence you multiplied the by five you will get
same with the other fraction except you multiplied it by two. x 2 =
next you add and simplify if needed