A watermelon was ejected from a catapult reaching a maximum height of 20 ft. The watermelon left the catapult when it was 4 ft o
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Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 9 rolls, hence
.
- Of the six sides, 2 are 3 or 4, hence
The desired probability is:
In which:
Then
Then:
0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For more on the binomial distribution, you can check brainly.com/question/24863377
Answer:
The amount spent on the refrigerator is $ 800 .
Step-by-step explanation:
Given as :
The amount spent on television = $ 1600
Le The total amount in the account = $ A
so, The amount left in account after spent on television = $ A - $ 1600
The amount spent on refrigerator = × ( A - 1600 )
The amount left in his saving account = × A
Now, According to question
A - ( 1600 + × ( A - 1600 ) ) =
× A
Or, A - × A = 1600 +
× ( A - 1600 )
Or, × A = 1600 +
× A -
× 1600
or, × A -
× A = 1600 - 640
Or, × A = 960
or, × A = 960
∴ A =
I.e A = 3600
So, The amount in the saving account is $3600
∵ , The amount spent on refrigerator = × ( 3600 - 1600 )
Or, The amount spent on refrigerator = × 2000
I.e The amount spent on refrigerator = $ 800
Hence The amount spent on the refrigerator is $ 800 . Answer