What is an Expression similar to 3/4(5z+16)

Mathematics

1 answer:

tino4ka555 [31]3 years ago

7 0

Distribute the 3/4 into the parenthesis.
should get (15/4)Z+ 48/4
then simplify
Final answer= (15/4)Z+12

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Annie is a basketball player who makes, on average, 65% of her freethrows. Assume each shot is independent and the probability o

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Answer:

a) For this case we need that she fails the first 3 throws and the last one would be successful, so then if p represent the probability of success and 1-p the probability of fail we have this:

$(1-p)^3 p = (1-0.65)^3 (0.65)= 0.0279$

b) "=1-BINOM.DIST(99,140,0.65,TRUE)"

$P(X \geq 100) = 1-P(X$

c) $\mu = np = 140*0.65= 91$

$\sigma = \sqrt{np(1-p)}= \sqrt{140*0.65(1-0.65)}=5.644$

And we want this probability:

$P(X \geq 100) = 1-P(X$

Step-by-step explanation:

Part a

For this case we need that she fails the first 3 throws and the last one would be successful, so then if p represent the probability of success and 1-p the probability of fail we have this:

$(1-p)^3 p = (1-0.65)^3 (0.65)= 0.0279$

Part b

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".

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

$X \sim Binom(n=140, p=0.65)$