0.194 if 94 is repeating how do I write it as a fraction?

1 answer:

5 0

If you divide a number by 9 then that number is repeated (1/9 = 0.111111... or 2/9 = 0.22222....)

So if we want 94 to repeat in the decimal 0.194 then we can have 94/99. But the thing is that we don't have 94 being repeated starting from the tenths place so we can possibly do 94/990.

Now we do have a tenths with a zero but we need a one to replace that zero. To do that we have to add 1/10 + 94/990 = 99/990 + 94/990 = 193/990.

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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:

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