A fair spinner with equal sections numbered 1 to 5 is thrown 500 times. Work out how many times it can be expected to land on 5.
What is 100.
100
Two coins are tossed 50 times. The number of heads is noted each time. Work out how many times you expect to get 0 heads.
What is 12.5
100
Two coins are tossed 50 times. The number of heads is noted each time. Work out how many times you expect to get 1 head.
What is 25
100
Two coins are tossed 50 times. The number of heads is noted each time. Work out how many times you expect to get 2 heads.
What is 12.5 times
100
A fair spinner with equal sections numbered 1 to 5 is thrown 500 times. Work out how many times it can be expected to land on 3.
What is 100.
200
The number of games the Good guys can expect to win out of their next 16 if they've won 46 out of the last 73 games.
What is 10
200
A biased die has the probability distribution
P(X=x)= 0.1 when x =1, 2, 3, 6 0.2 when x= 4 and 0.4 when x=5
Find E(X)
What is 4.
200
P(X=x) = 0.3 when x= 2,4 and 0.3 when x= 6, 8
Find E(X)
What is 4.6
200
P(X=x) = 0.1 when x= 1,3 and 0.4 when x= 2, 4
Find E(X)
What is 2.8
200
P(X=x) = 1/x when x=2,3,6 and 0 all other values
Work out E(X)
What is 3.
300
Your expected earnings if you pay $1 to play a game where you roll a die and win $5 if you roll a 6 and nothing if you roll any other number.
What is -.17
300
A biased die has the probability distribution
P(X=x)= 0.1 when x =1, 2, 3, 6 0.2 when x= 4 and 0.4 when x=5
Find E(X^2)
What is 18.2
300
P(X=x) = 0.3 when x= 2,4 and 0.3 when x= 6, 8
Find E(X^2)
What is 26
300
P(X=x) = 0.1 when x= 1,3 and 0.4 when x= 2, 4
Find E(X^2)
What is 9
300
P(X=x) = 1/x when x=2,3,6 and 0 all other values
Work out E(X^2)
What is 11.
400
The expected value for rolling a fair 10-sided die.
What is 5.5
400
State with a reason whether or not (E(X))^2= E(X^2)
What is no
400
The probability distribution of X, the number of red cars John meets on his way to work each morning, is given by the following table:
x f(x)
0 0.41
1 0.37
2 0.16
3 0.05
4 0.05
Find the number of red cars that John expects to run into each morning on his way to work.
What is 0.88
400
The random variable X has the probability function P(X=x) =(2x-1)/ 36 when x= 1,2,3,4,5,6
Find E(X)
What is 0.583
400
The random variable X has the probability function P(X=x) = 0.0588x when x= 1,2,3 and 0.0588(x+1) when x= 4,5
Find E(X).
What is 3.76
500
Your expected earnings if you buy 1 raffle ticket for $2. 620 are sold and 1 ticket is picked for a prize of $300, 1 ticket is picked for a prize of $200, and 1 ticket is picked for a prize of $100.
What is -1.03
500
P(X=x) = 0.1 when x= 1,5 0.2 when x=4 a when x=2 and b when x=3
Given E(X)= 2.9 find the value of a and b
What is a= 0.3, b= 0.3
500
The random variable X has probability distribution P(X=x)= 0.1 when x=1, p when x=2, 0.2 when when x=3, q when x=4, and 0.3 when x=5.
Given E(X)= 3.5 find two equations involving p and q.
What is p+q= 0.4, 2p+4q= 1.3
500
The random variable X has probability distribution P(X=x)= 0.1 when x=1, p when x=2, 0.2 when when x=3, q when x=4, and 0.3 when x=5.
Given E(X)= 3.5 find p and q.
What is p=0.15, q= 0.25.
500
The random variable X has probability distribution P(X=x)= 0.2 when x=1, p when x=3, 0.2 when when x=5, q when x=7, and 0.15 when x=9.
Given E(X)= 4.5 find p and q.