Lennie Carroll

2021-08-18

Explain how the value of n, the number of trials in a binomial experiment, affects the shape of the distribution of a binomial random variable.

Pohanginah

Skilled2021-08-19Added 96 answers

We will first extract the probability distribution and then construct its histogram in order to create a binomial probability histogram.

As the number of trials n in a binomial experiment rises, the probability distribution of the random variable X becomes a bell-shaped form when we compare the binomial probability histograms for a fixed p, (probability of success).

As a rule, the probability distribution will resemble a bell if np(1 - p) is bigger than or equal to 10.

Result: Provided that $np(1-p)>{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}=10$, the interval $\mu -2\sigma \to \mu +2\sigma$ depicts the common observations. Any observations made outside of this window may be deemed strange. As said above.

Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes?

Write formula for the sequence of -4, 0, 8, 20, 36, 56, 80, where the order of f(x) is 0, 1, 2, 3, 4, 5, 6 respectively

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.n=20,

p=0.7,

x=19

P(19)=

In binomial probability distribution, the dependents of standard deviations must includes.

a) all of above.

b) probability of q.

c) probability of p.

d) trials.The probability that a man will be alive in 25 years is 3/5, and the probability that his wifewill be alive in 25 years is 2/3

Determine the probability that both will be aliveHow many different ways can you make change for a quarter??

(Different arrangements of the same coins are not counted separately.)One hundred people line up to board an airplane that can accommodate 100 passengers. Each has a boarding pass with assigned seat. However, the first passenger to board has misplaced his boarding pass and is assigned a seat at random. After that, each person takes the assigned seat. What is the probability that the last person to board gets his assigned seat unoccupied?

A) 1

B) 0.33

C) 0.6

D) 0.5The value of $(243{)}^{-\frac{2}{5}}$ is _______.

A)9

B)$\frac{1}{9}$

C)$\frac{1}{3}$

D)01 octopus has 8 legs. How many legs does 3 octopuses have?

A) 16

B 24

C) 32

D) 14From a pack of 52 cards, two cards are drawn in succession one by one without replacement. The probability that both are aces is...

A pack of cards contains $4$ aces, $4$ kings, $4$ queens and $4$ jacks. Two cards are drawn at random. The probability that at least one of these is an ace is A$\frac{9}{20}$ B$\frac{3}{16}$ C$\frac{1}{6}$ D$\frac{1}{9}$

You spin a spinner that has 8 equal-sized sections numbered 1 to 8. Find the theoretical probability of landing on the given section(s) of the spinner. (i) section 1 (ii) odd-numbered section (iii) a section whose number is a power of 2. [4 MARKS]

If A and B are two independent events such that $P(A)>0.5,P(B)>0.5,P(A\cap \overline{B})=\frac{3}{25}P(\overline{A}\cap B)=\frac{8}{25}$, then the value of $P(A\cap B)$ is

A) $\frac{12}{25}$

B) $\frac{14}{25}$

C) $\frac{18}{25}$

D) $\frac{24}{25}$The unit of plane angle is radian, hence its dimensions are

A) $[{M}^{0}{L}^{0}{T}^{0}]$

B) $[{M}^{1}{L}^{-1}{T}^{0}]$

C) $[{M}^{0}{L}^{1}{T}^{-1}]$

D) $[{M}^{1}{L}^{0}{T}^{-1}]$Clinical trial tests a method designed to increase the probability of conceiving a girl. In the study, 340 babies were born, and 289 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born?