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Sedbober [7]
3 years ago
13

Jim’s total bill for lunch is $20. The cost of his drink is 15% of the bill. What is the percent of the total food cost? What wa

s the cost of his food?
Mathematics
1 answer:
dem82 [27]3 years ago
6 0

Answer:

Percent of the total food cost: 85%

Cost of the food: $17

Step-by-step explanation:

If the drink is 15% of the bill, then the other 85% is the cost of the food.

85% of 20 is 17

Stay safe! <3

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Answer:

a)P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

b) P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298

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So then we have:

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Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.15)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

For this case we want this probability:

P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

Part b

For this case we want this probability:

P(X=3)

And using the probability mass function we got:

P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298

Part c

For this case we want this probability:

P(X \geq 1)

And we can use the complenet rule and we got:

P(X \geq 1) = 1- P(X

P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

So then we have:

P(X \geq 1) = 1- P(X

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