Find the critical value z Subscript alpha/2 that corresponds to the given confidence level. 99?% z Subscript alpha/2 = nothing?

2.576

Step-by-step explanation:

Given :

Confidence level (α) = 99%

Z(1 - α)/2 = Z(1 - 99%)/2

Z1%/2 = Z1%/ 2

Z0.5% = Z0.005

Z(0.99 + 0.005) = Z0.995

Using the Z distribution table ; locate the z value for the proportion 0.995 ; this corresponds to approximately 2.57

Similarly, using the Invnorm calculator function :

Invnorm(0.995) gives a Zscore of :

2.576

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation:

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."