Using the binomial distribution, the probabilities are given as follows:
- 0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
- 0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
- Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.
<h3>What is the binomial distribution formula?</h3>
The formula is:


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.
The values of the parameters for this problem are:
n = 10, p = 0.4.
The probability that more than 4 weigh more than 20 pounds is:

In which:

Then:






Hence:


0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
The probability that fewer than 3 weigh more than 20 pounds is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0061 + 0.0403 + 0.1209 = 0.1673
0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
For more than 7, the probability is:





Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.
More can be learned about the binomial distribution at brainly.com/question/24863377
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36/20
36:20
36 to 20
hope this helps
X=-1
-1x2 + 5x-1 +7 = 0
-7+7 =0
0=0
When the insurance company want a plan with a deductible of $4,000, they need to charge a minimum of $18000 for premiums.
<h3>What is a deductible?</h3>
It should be noted that a deductible simply means the amount of money that is paid out of the pocket of the policy holder.
From the information given, each accident costs $18,000 on average. Therefore, this is the minimum amount of premium.
When they want a plan with a premium of $1,000, the amount that they'll need to charge for deductibles will be:
= (4000/18000) × 1000
= $220
Learn more about deductible on:
brainly.com/question/5306277
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