To solve for proportion we make use of the z statistic.
The procedure is to solve for the value of the z score and then locate for the
proportion using the standard distribution tables. The formula for z score is:
z = (X – μ) / σ
where X is the sample value, μ is the mean value and σ is
the standard deviation
when X = 70
z1 = (70 – 100) / 15 = -2
Using the standard distribution tables, proportion is P1
= 0.0228
when X = 130
z2 = (130 – 100) /15 = 2
Using the standard distribution tables, proportion is P2
= 0.9772
Therefore the proportion between X of 70 and 130 is:
P (70<X<130) = P2 – P1
P (70<X<130) = 0.9772 - 0.0228
P (70<X<130) = 0.9544
Therefore 0.9544 or 95.44% of the test takers scored
between 70 and 130.
Answer:
48.75$
Step-by-step explanation:
Since the original price is 65$ and you are getting 25% off, you would now be paying 75% of the original price.
65*75%=48.75
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You could also take the amount of discount you're getting...
65*25%
and then subtract the amount of discount your getting from the original price
65-(65*25%) = 48.75
Answer:It's an arithmetic sequence with a common difference, d, = 4
A1 = 8
A2 = 8+4 = 12
A3 = 12+4 = 16 = 8+4(3-1) = 8+4(2) = 8+8
AN = A1 + d(N-1)
AN = 8 +4(N-1) = the Nth term in the sequence
Step-by-step explanation: hoped it helped
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.
