How to do this math problem

Mathematics

2 answers:

Alenkasestr [34]3 years ago

8 0

I filled in all of the questions you asked. i hope this helps

Gnesinka [82]3 years ago

6 0

You need to fill in the blank spaces in the chart.

For the first row, read the word form and try to put it into numbers. It would be 5,370.
Then, you need to put it into expanded form. This is a bit harder since you need to separate all of the numbers. It would be 5,000+300+70+2.

For the second row, you have to work backwards. This time it’s 50,370. Write it in standard form and word form as I taught you. Good luck!

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Some parts of California are particularly earthquake-prone.

Lyrx [107]

Answer:

a) $P(X=0)=(4C0)(0.27)^0 (1-0.27)^{4-0}=0.283982$

$P(X=1)=(4C1)(0.27)^4 (1-0.27)^{4-1}=0.420138$

$P(X=2)=(4C2)(0.27)^5 (1-0.27)^{4-2}=0.23309$

$P(X=3)=(4C3)(0.27)^3 (1-0.27)^{4-3}=0.057474$

$P(X=4)=(4C4)(0.27)^4 (1-0.27)^{4-4}=0.05314$

b) For this case the value with the higher probability is X=1, so then would be the most likely value.

c) $P(X \leq 1) = P(X=0) +P(X=1) = 0.283982+0.420138=0.704121 \approx 0.7041$

d) $P(X \leq 2) =1-{(X$

e) For this case the expected value is given by:

$E(X) = \mu = np= 4*0.27= 1.08$

The variance is given by:

$\sigma^2 = Var(X) = np(1-p) =4*0.27*(1-0.27)= 0.7884$

And the deviation is:

$Sd(X) = \sigma = \sqrt{0.7884}=0.89$

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:

$X \sim Binom(n=4, p=0.27)$