I assume we are talking about rolling a fair die with 6 numbers.
The probability that none of the 11 students throw the same number as you do is (5/6)^11 = 0.135
So probability at least one throws same mumber = 1 - 0.135 = 0.865 Answer
5280 feet in one mile
5280 * 43 = 227040
43 miles = 227040 feet
525600 minutes in one year
525600 * 17 = 8935200
17 years = 8935200 minutes
Answer:
0.9646 ; 0.5685
Step-by-step explanation:
Given that :
P(obtaining 3 on a die roll) = 1/6 = 0.1667
Obtaining 3 at most 2 times in five trials
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = 5 ;, p = 0.1667
P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)
Using the binomial probability :
P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608
P(x ≤ 2) = 0.9646
B.) using geometric distribution :
(1 - p)^x-1 * p
P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)
1 - (0.1667 + 0.1157+0.0965+0.0804)
= 0.5685
Answer:
Step-by-step explanation:
18 degrees
