In reference to what you learnt in business mathematics and statistics, describe five kinds of theory of probability.The table below indicates the cost of certain air tel kiosk Z0.150.200.250.750.800.851.851.901.952.002.05Фz0.05960.07930.09870.27340.28810.30230.46780.47130.47440.47720.4798 If it was stated that, the number of telephone calls received at a switchboard is approximately normal with a mean of 580 calls and a standard deviation of 10.REQUIREDFind the possibility that on a given day the number of calls received at the switchboard will be;Exactly 578Less than 57Between 561 and 600 inclusive

Given,mean(μ)=580standard deviation(σ)=10

Answered: In reference to what you learnt in…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 1YT

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In reference to what you learnt in business mathematics and statistics, describe five kinds of theory of probability.
The table below indicates the cost of certain air tel kiosk

Z	0.15	0.20	0.25	0.75	0.80	0.85	1.85	1.90	1.95	2.00	2.05
Фz	0.0596	0.0793	0.0987	0.2734	0.2881	0.3023	0.4678	0.4713	0.4744	0.4772	0.4798

If it was stated that, the number of telephone calls received at a switchboard is approximately normal with a mean of 580 calls and a standard deviation of 10.

REQUIRED

Find the possibility that on a given day the number of calls received at the switchboard will be;

Exactly 578
Less than 57
Between 561 and 600 inclusive

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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The table below indicates the cost of certain air tel kiosk

Z	0.15	0.20	0.25	0.75	0.80	0.85	1.85	1.90	1.95	2.00	2.05
Фz	0.0596	0.0793	0.0987	0.2734	0.2881	0.3023	0.4678	0.4713	0.4744	0.4772	0.4798

If it was stated that, the number of telephone calls received at a switchboard is approximately normal with a mean of 580 calls and a standard deviation of 10.

REQUIRED

Find the possibility that on a given day the number of calls received at the switchboard will be;