Answer:
The probability of scoring fewer than 5 runs when they win is P = 0.19
How to find the probability?
We know that:
The probability of winning a game is p = 0.53
The probability of scoring 5 or more runs is q = 0.59
The probability of winning and scoring 5 or more runs is k = 0.43
Notice that the joint probability is different than the product of the individual probabilities, this means that the events are not independent.
So, we know that the probability of winning is 0.53
Now, given that they win, the probability of scoring 5 or more times will be q' such that:
0.53*q' = 0.43
q' = 0.811
This means that when they win, the probability of scoring more than 5 times is 0.81
Then the probability of scoring less than 5 times when they win is 1 minus the above probability:
P = 1 - 0.81 = 0.19
The probability of scoring fewer than 5 runs when they win is P = 0.19
Answer:
At least 75% of the observations lie between 16 and 28.
Step-by-step explanation:
The Chebyshev’s Theorem says:
For any numerical data set, at least of the data lie within k standard deviations of the mean, that is, in the interval with endpoints for populations, where k is any positive whole number that is greater than 1.
Given:
The interval (16, 28) is the one that is formed by adding and subtracting two standard deviations from the mean.
For k = 2, we see that , which is 75% of the data must always be within two standard deviations of the mean.
At least 75% of the observations lie between 16 and 28.
We have the expression
, note that both terms have the factor 2x, if we factor this out, we are left with:
2x(4x + 5)
If you redistribute it you can see that it equals
Hope this helps! :)
Answer:
SCB
Step-by-step explanation:
Answer:
well that is a pretty good deal i might have to go there
Step-by-step explanation: