Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 c
2 answers:
Answer:
Tahari is left with 12 options after she chooses the color.
Step-by-step explanation:
Tahari can choose from 4 brands, 5 colors, and 3 styles.
First, she chooses the color.
Her total choices based on all three parameters is =
When she has chosen a color, she has two parameters left.
So, she has now choices left
So, after finalizing a color, she is left with 12 choices/options.
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Answer:
$ 454.86 : $33.25
Step-by-step explanation:
1.
Alex bought the new easy chair for $ 399 .
If she pays the amount in 13th month. So, she has to pay the interest of 1 month too , which is, = $
= $ 55.86
So, total amount she has to pay for the chair,
= (cost price of the chair + interest)
= $ (399 + 55.86)
= $ 454.86 (answer)
2.
If she wants to pay the amount within the 12 months, so that she doesn't have to pay the interest, her budget for that for each month will be ,
$
= $ 33. 25 (answer)
Answer:
a) The mean is 10 and the variance is 0.0625.
b) 0.6826 = 68.26% probability that the mean time of the visitors is within 15 seconds of 10 minutes.
c) 10.58 minutes.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Normally distributed with a mean of 10 minutes and a standard deviation of 2 minutes.
This means that
Suppose 64 visitors independently view the site.
This means that
a. The expected value and the variance of the mean time of the visitors.
Using the Central Limit Theorem, mean of 10 and variance of (0.25)^2 = 0.0625.
b. The probability that the mean time of the visitors is within 15 seconds of 10 minutes.
15 seconds = 15/60 = 0.25 minutes, so between 9.75 and 10.25 seconds, which is the p-value of Z when X = 10.25 subtracted by the p-value of Z when X = 9.75.
X = 10.25
By the Central Limit Theorem
has a p-value of 0.8413.
X = 9.75
has a p-value of 0.1587.
0.8413 - 0.1587 = 0.6826.
0.6826 = 68.26% probability that the mean time of the visitors is within 15 seconds of 10 minutes.
c. The value exceeded by the mean time of the visitors with probability 0.01.
The 100 - 1 = 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.
So 10.58 minutes.