I need help with number 1 please 1. Use the binomial formula (not binompdf nor binomcdf) to fill in the probabilitydistribution and cumulative probability distribution tables below (to 5 decimal places):ents?Pr(Y=y)Pr(Y≤y)2. What is the probability that the0a. at least 1?b. at most 2?1aber ofc. between 1 and 3 (inclusive)?d. an odd number?2s the probability2. Show how to compute each of the probabilities in Part 1 using binompdf or binomcdf.anointoa3. Express in notation, and compute the probability that Y is:3III maldorTm218 al 1sflud oniw2 of studiTT si tol song sluger sdi J1 151iH vrgnul sdi 1Aali seoqque lost in noblido bas 012 101 1stlud sdi 19g aso (noenido 10 ) zin2osebe in svig a nonow aremoleno isltud adliBe Pashala Subhqbale sides4Totalistlud adi to insan tad Wof effective treatmthe "mode" of the distribution?effective treatmPromojaus 19 ilud adi to leo ass seit ei tad W SsdSomolano 100 ollud odi to 1800 meibom arb tad W C4. Use "1-var stats" to compute the mean and variance of the distribution of Y from thetable in Part 1. Then use the special formulas for the mean and variance that apply tobinomial distributions. Do you get the same answers?fercisse ved indgewow Insonono mnoga yomom lo tuonts Istol adi 10 A

Given information: The table is given below. y 0 1 2 3 4 Total Pr(Y=y) Pr(Y≤y)…

Answered: 1. Use the binomial formula (not…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

I need help with number 1 please

1. Use the binomial formula (not binompdf nor binomcdf) to fill in the probability
distribution and cumulative probability distribution tables below (to 5 decimal places):
ents?
Pr(Y=y)
Pr(Y≤y)
2. What is the probability that the
0
a. at least 1?
b. at most 2?
1
aber of
c. between 1 and 3 (inclusive)?
d. an odd number?
2
s the probability
2. Show how to compute each of the probabilities in Part 1 using binompdf or binomcdf.
anointoa
3. Express in notation, and compute the probability that Y is:
3
III maldorT
m
218 al 1sflud oniw2 of studiTT si tol song sluger sdi J1 151iH vrgnul sdi 1A
ali seoqque lost in noblido bas 012 101 1stlud sdi 19g aso (noenido 10 ) zin2
osebe in svig a no
now aremoleno isltud adli
Be Pashala Sub
hq
bale sides
4
Total
istlud adi to insan tad W
of effective treatm
the "mode" of the distribution?
effective treatm
Promojaus 19 ilud adi to leo ass seit ei tad W S
sd
Somolano 100 ollud odi to 1800 meibom arb tad W C
4. Use "1-var stats" to compute the mean and variance of the distribution of Y from the
table in Part 1. Then use the special formulas for the mean and variance that apply to
binomial distributions. Do you get the same answers?
fercisse ved indgewow Insono
no mnoga yomom lo tuonts Istol adi 10 A

Expert Solution

Step 1

Given information:

The table is given below.

y	0	1	2	3	4	Total
Pr(Y=y)
$P r (Y \leq y)$

The general definitions of the discrete r.v.

The probability mass function:

Let Y be a discrete r.v defined on a sample space. Suppose {y₁, y₂,...,y_n} is the range set of Y with each of y_i assign a number $p i = P (Y = y i)$ is called the probability of y_i such that.

$i) p_{i} \geq 0; i = 1, 2, . ., n i i) \sum_{i = 1}^{n} p_{i} = 1$

Therefore the function P is called p.m.f. of Y.

The cumulative distribution function:

Let Y be a discrete r.v defined on a sample space. Suppose {y₁, y₂,...,y_n} is the range set of Y with probabilities p₁,p₂,...,p_n resp. Then (c.d.f.) is denoted by F(y) is is defined as

$F (y) = P (Y \leq y) F (y_{i}) = P (Y \leq y_{i}) = \sum_{j = 1}^{i} p_{j}; i = 1, 2, 3 . . ., n$