Estimate to 7.864 times 3.29

Mathematics

1 answer:

tankabanditka [31]3 years ago

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Justyna invested $1500 in an account at a 2.5% interest rate compounded annually. She made no deposits or withdrawals on the

olga55 [171]

Answer:

$1783.03

Step-by-step explanation:

Annually compounding interest formula:

PV(1+i)ⁿ

1500(1+.025)⁷

1500(1.025)⁷

1783.028631

which rounds to

1783.03

4 0

2 years ago

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32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) 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".

2) Solution to the problem

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

$X \sim Binom(n=10, p=0.32)$