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3 years ago

Pls answer i need help asap lol, No links (30 points + brainly)

Mathematics

1 answer:

professor190 [17]3 years ago

7 0

The corresponding answers for each student plan are:

plan A: 15 years

plan B: 5 years

plan C: 10 years

plan D: 9 years

Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.

Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.

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Read 2 more answers

Suppose 85% of all students taking a beginning programming course fail to get their first program to run on first submission. Co

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Answer:

a) $P(X=6)=(7C6)(0.85)^6 (1-0.85)^{7-6}=0.396$

b) $P(X\leq 6)$

And we can use the complement rule and we got:

$P(X\leq 6)= 1- P(X>6) = 1-P(X = 7)$

$P(X=7)=(7C7)(0.85)^7 (1-0.85)^{7-7}=0.321$

And replacing we got:

$P(x \leq 6) = 1-0.321= 0.679$

c) $P(X\geq 6)= P(X=6) +P(X=7) = 0.396+0.321= 0.717$

d) $E(X) = 7*0.85= 5.95$

e) $\sigma = \sqrt{7*0.85*(1-0.85)}=0.945$

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:

$X \sim Binom(n=7, p=0.85)$

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

We want this probability:

$P(X=6)$

And using the probability mas function we got:

$P(X=6)=(7C6)(0.85)^6 (1-0.85)^{7-6}=0.396$

Part b

We want this probability:

$P(X\leq 6)$

And we can use the complement rule and we got:

$P(X\leq 6)= 1- P(X>6) = 1-P(X = 7)$

$P(X=7)=(7C7)(0.85)^7 (1-0.85)^{7-7}=0.321$

And replacing we got:

$P(x \leq 6) = 1-0.321= 0.679$

Part c

We want this probability:

$P(X\geq 6)= P(X=6) +P(X=7) = 0.396+0.321= 0.717$

Part d

the expected value is given by:

$E(X) = 7*0.85= 5.95$

Part e

The standard deviation is given by:

$\sigma = \sqrt{7*0.85*(1-0.85)}=0.945$

7 0

3 years ago