In a bag containing 143 M&M candies, there are 52 brown, 39 orange, 20 yellow, and 17 red candies. The rest of the M&M’s
1 answer:
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Answer:
31.77% probability the surgery is successful for exactly five patients.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either the surgery is successful, or it is not. The probability of the surgery being successful for a patient is independent of other patients. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A surgical technique is performed on seven patients.
This means that
You are told there is a 70% chance of success.
This means that
Find the probability the surgery is successful for exactly five patients.
This is P(X = 5).
31.77% probability the surgery is successful for exactly five patients.
Answer:
The answer is : 0.0597
Step-by-step explanation:
Population mean = μ = 80
Standard deviation = σ = 20
Sample = N = 60
σ_mean = σ/√N
= (20)/√(60) = 2.582
Now we will find z1 and z2.
z1 = {(84) - μ}/σ_mean =
z2 = {(88) - μ}/σ_mean =
Now probability that the sample mean will be between 84 and 88 is given by:
Prob{ (1.549) ≤ Z≤ (3.098) } = (0.9990) -(0.9393) = 0.0597