X - an amount
To increase an amount by 3% you can multiply the amount by 1.03.
To increase an amount by 3% you can multiply the amount by 1.03.
Which of the following statements is false
2 answers:
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Using the distributions, it is found that there is a:
a) 0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.
b) 0% probability that 10 of the tosses will fall heads and 10 will fall tails.
c) 0.1742 = 17.42% probability that 10 of the tosses will fall heads and 10 will fall tails.
Item a:
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 20 tosses, hence
.
- Fair coin, hence
.
The probability is <u>P(X = 10)</u>, thus:
0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.
Item b:
In a normal distribution with mean and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- The binomial distribution is the probability of <u>x successes on n trials, with p probability</u> of a success on each trial. It can be approximated to the normal distribution with
.
The probability of an exact value is 0, hence 0% probability that 10 of the tosses will fall heads and 10 will fall tails.
Item c:
For the approximation, the mean and the standard deviation are:
Using continuity correction, this probability is , which is the <u>p-value of Z when X = 10.5 subtracted by the p-value of Z when X = 9.5.</u>
X = 10.5:
has a p-value of 0.5871.
X = 9.5:
has a p-value of 0.4129.
0.5871 - 0.4129 = 0.1742.
0.1742 = 17.42% probability that 10 of the tosses will fall heads and 10 will fall tails.
A similar problem is given at brainly.com/question/24261244
well, first off, let's notice that we have a trapezoid with a rectangle inside it, so the rectangle is really "using up" area that the trapezoid already has.
now, if we just get the area of the trapezoid, and then the area of the rectangle alone, and then subtract that area of the rectangle, the rectangle will in effect be making a hole inside the trapezoid's area, and what's leftover, is the shaded section, that part the hole is not touching.