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Leto [7]
3 years ago
12

Do you expect the difference between the 25th percentile and the median (50th percentile) to be Group of answer choices Larger t

han the difference between median and 75th percentile. We need to see the actual data to answer this question Smaller than the difference between median and 75th percentile. Equal to the difference between median and 75th percentile.
Mathematics
1 answer:
kirza4 [7]3 years ago
4 0

Answer:

Equal to the difference between median and 75th percentile.

Step-by-step explanation:

xth percentile:

If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.

Distance between percentiles:

If the difference between two percentiles is the same, the difference between the measures should also be the same.

Median:

The 50th percentile is called median.

In this question:

75th percentile - 50th percentile = 25

50th percentile - 25th percentile = 25

The differences should be equal.

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4 years ago
An unfair coin has probability 0.3 of landing heads. The coin is tossed seven times. What is the probability that it lands heads
solmaris [256]

Answer:

0.9176 = 91.76% probability that it lands heads at least once

Step-by-step explanation:

For each time that the coin is tossed, there are only two possible outcomes. Either it lands heads, or it does not. The probability of a toss landing heads is independent of other tosses. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

An unfair coin has probability 0.3 of landing heads.

This means that p = 0.3

The coin is tossed seven times.

This means that n = 7

What is the probability that it lands heads at least once?

Either it does not lands heads, or it lands at least once. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). So

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{7,0}.(0.3)^{0}.(0.7)^{7} = 0.0824

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0824 = 0.9176

0.9176 = 91.76% probability that it lands heads at least once

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4 years ago
The probability that your ticket will be chosen in a drawing is 3/50. There are a total of 250 tickets in the drawing. How many
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Answer:

15

Step-by-step explanation:

Since 50 x 5 is 250

Do the same for the numerator 3.

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