2/5 times 8/15 didided by 1/4

Mathematics

2 answers:

Mandarinka [93]3 years ago

6 0

2/5×8/15÷1/4 is 8.

2/5 x 8/15 is 2

2 divided by 1/4 is 8.

MA_775_DIABLO [31]3 years ago

3 0

Answer: 64/75 or .85333333

Step-by-step explanation:

2/5*8/15=16/75

16/75÷1/4=16/75*4/1

Because dividing by a number is the same as multiplying by the reciprocal

16/75*4/1=64/75

64/75=0.85333333

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a) $P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039$

$P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469$

$P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211$

$P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422$

$P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316$

b) $E(X) = np = 4*0.75=3$

c) $Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866$

d) $P(X \geq 3) \geq 0.98$

And the dsitribution that satisfy this is $X\sim Binom(n=9,p=0.75$

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".

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

$X \sim Binom(n=4, p=1-0.25=0.75)$