You play tennis with your friend every week. From all of the past games, you know that each game is independent and you estimate
1 answer:
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Answer:
Step-by-step explanation:
For a problem like this, we would use the compound interest formula:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, lets change 4% into a decimal:
4% -> -> 0.04
Since the interest is compounded 4 times a year, we will use 4 for <em>n</em>.
The equation is shown below:
Answer:
a) 14.46%
b) 0.00%
c) 1.54%
Step-by-step explanation:
According to the survey, 10% of Americans are afraid to fly.
This means and
.
If 1100 Americans are sampled, then the sample size is .
The mean of the distribution is .
This means
The standard deviation is
We substitute the values to get:
a) We want to find the probability that 121 or more Americans in the survey are afraid to fly.
We first apply the continuity correction factor to get:
We now convert to Z-scores to get:
From the standard normal distribution table P(z>1.06)=0.1446
As a percentage, the probability is 14.46%
b) We want to find the probability that 165 or more Americans in the survey are afraid to fly.
We apply the CCF to get:
We convert to z-scores:
From the normal distribution, P(z>164.5)=0
c) First, 8% of 1100 is 88.
We want to find the probability that 88 or less Americans in the survey are afraid to fly.
We apply the CCF to get:
We convert to z-scores:
From the normal distribution, P(z>\:-2.16)=0.0154
As a percentage, we get 1.54%