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Sedaia [141]
3 years ago
6

Tom opens a bank account and makes an initial deposit of $500. The banker tells Tom that he is going to receive

Mathematics
1 answer:
Katena32 [7]3 years ago
7 0

Bank balance after 15 years is $950

Step-by-step explanation:

  • Step 1: Find the simple interest on the principal amount using the formula SI = PRT/100 where Principal (P) = $500, Rate of Interest (R) = 6% and Time(T) = 15 years

⇒ SI = 500 × 6 × 15/100 = $450

  • Step 2: Find total amount using the formula Amount = P + SI

⇒ Amount = 500 + 450 = $950

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For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

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=5, p=0.4)

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!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

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Answer:

B

Step-by-step explanation:

y=x you can imagine by drawing graph

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