4 digit palindromes must be of form abba, so being required that you use both numbers, you only have two: 1221 and 2112
The probability that the sample proportion will be less than 0.04 is <u>0.0188 or 1.88%</u>.
The true proportion given to us (p) = 0.07.
The sample size is given to us (n) = 313.
The standard deviation can be calculated as (s) = √[{p(1 - p)}/n] = √[{0.07(1 - 0.07)}/313] = √{0.07*0.93/313} = √0.000207987 = 0.0144217.
The mean (μ) = p = 0.07.
Since np = 12.52 and n(1 - p) = 291.09 are both greater than 5, the sample is normally distributed.
We are asked the probability that the sample proportion will be less than 0.04.
Using normal distribution, this can be shown as:
P(X < 0.04),
= P(Z < {(0.04-0.07)/0.0144217}) {Using the formula Z = (x - μ)/s},
= P(Z < -2.0802)
= 0.0188 or 1.88% {From table}.
Thus, the probability that the sample proportion will be less than 0.04 is <u>0.0188 or 1.88%</u>.
Learn more about the probability of sampling distributions at
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Answer:
slope = 8, y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Given
- 8x + y = 5 ( add 8x to both sides )
y = 8x + 5 ← in slope- intercept form
with slope m = 8 and y- intercept c = 5
Answer:
10x=log6-3
Step-by-step explanation:
