(2^9)^8 = 2 simplified
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Answer:
0.82 = 82% probability that at least one party will not order drinks
Step-by-step explanation:
For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So the binomial probability distribution is used 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.
When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.
This means that
During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?
6 parties, so n = 6.
Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So
We want P(X < 6). So
In which
0.82 = 82% probability that at least one party will not order drinks
To find how much Henry can expect to receive from Social Security on a monthly basis, we first need to find how much he cant expect to receive from social security per year.
We know form our problem that Henry averaged an annual salary of $45,620, so to find how much can Henry expect to receive from Social Security per year, we just need to find the 42% of $45,620.
To find the 42% of $45,620, we are going to convert 42% to a decimal by dividing it by 100%, and then we are going to multiply the resulting decimal by $45,620:
Social security annual payment = (0.42)($45,620) = $19,160.40
Since there are 12 month in a year, we just need to divided the social security annual payment by 12 to find how much he can expect to receive each month.
Social security monthly payment = = $1.596.70
We can conclude that Henry can expect to receive $1.596.70 monthly from Social Security.