Answer:
0.33411
The probability that a particular criminal trial lasted atleast 24 days is 0.33411
Step-by-step explanation:
The random variable X is normally distributed with a mean of 21 and standard deviation of 7
;
X ~ N(μ = 21 ; σ = 7)
X ~ N(21, 7)
Probability that a trial lasted atleast 24 days :
P(X ≥ 24) :
The standardized score :
Z = (x - μ) / σ ; (24 - 21) / 7 ; 3 / 7 = 0.4286
Hence,
P(Z ≥ 0.4286) = 0.33411
The probability that a particular criminal trial lasted atleast 24 days is 0.33411
Answer:
The probability that the man is greater than 74 inches is 0.1587
Step-by-step explanation:
The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values
The standard normal variate factor (Z) is given by
where
is mean of the data
is the standard deviation of the data
Thus corresponding to x = 74 the Z factor equals
Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals
0.1587
Answer:
The given equation is:
f(m) = 3(1.09)^m
where 'f(m)' represents the length of the fish after 'm' months.
Domain is considered as a set of all values of input. In this question, the input is number of months. The input should starts at 0 which will show the initial height and then as the number 'm' increases, the value of f(m) also increases.
Thus, the domain can be defined as m ≥ 0
y-intercept occurs at m=0. It means the height of the fish after 0 months, which can also be considered as initial height.
Calculate the value of function for m=2 and m=8
For m=2, f(2) = 3.564
For m=8, f(8) = 5.978
Average rate of change = (5.978-3.564) / (8-2)
Average rate of change = 0.402
It means the fish grows about 0.402cm each month in between 2 to 8 months
<span>At least 75% of the data will fall within 2 standard deviations of the mean.
This is tricky problem. Usually when you're dealing with standard deviation, you have a bell curve, or something close to a bell curve and for such a data distribution, there will be approximately 95% of the data within 2 standard deviations of the mean. But if you don't know that you have a bell curve, you have to fall back to Chebyshev’s Theorem, which states that at least 75% of the data points will fall within 2 standard deviations of the mean for any set of numbers.</span>
