69. An unbiased die is tossed 500 times. The mean of the number of 'Sixes' in these 500 tosses is
(a) 50/6
by 500/6
(c) 5/6
(d) none
70. An unbiased die is tossed 500 times. The Standard deviation of the number of 'sixes' in
these 500 tossed is
(a) 50/6
(b) 500/6
(c) 5/6
(d) none
Answers
An unbiased die is tossed 500 times. The mean of the number of 'Sixes' in these 500 tosses is
(a) 50/6
by 500/6
(c) 5/6
(d) none
70. An unbiased die is tossed 500 times. The Standard deviation of the number of 'sixes' in
these 500 tossed is
(a) 50/6
(b) 500/6
(c) 5/6
(d) none
Step-by-step explanation:
An unbiased die is tossed 500 times. The mean of the number of 'Sixes' in these 500 tosses is
(a) 50/6
by 500/6
(c) 5/6
(d) none
The standard deviation would be:
σ = √(npq)
n : number of rolls (500)
p : probability of success (1/6)
q : probability of failure (1-p = 5/6)
When we place the numbers in the equation we get:
σ = √(500 * 1/6 * 5/6)
σ = √(2500/36)
σ = 50/6
σ = 25/3
Ans
σ = 8 1/3
An unbiased die is tossed 500 times. The Standard deviation of the number of 'sixes' in
these 500 tossed is
(a) 50/6
(b) 500/6
(c) 5/6
(d) none
Ans (a) 50/6