the lee family eats at a restaurant for a total bill of 45$ they decided to give a tip of 18% how much tip will they give
1 answer:
You might be interested in
Answer:
0.0465 = 4.65% probability that the proportion of persons with a college degree will be less than 44%
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
So
What is the probability that the proportion of persons with a college degree will be less than 44%?
This is the pvalue of Z when X = 0.44*780 = 343.2. So
has a pvalue of 0.0465
0.0465 = 4.65% probability that the proportion of persons with a college degree will be less than 44%
Answer:
The discount percent is 18.75%
Step-by-step explanation:
The amount of money that was lost in this discount is $150, to calculate the percent, you subtract the original price by the discounted price, and then divide the difference by the original price and multiply that by 100% to get the discount percent. * 100% equals 18.75%, so that would be the discount percent.