Question

b Statistics This Question: 1 pt urves or ve Home In the probability distribution to the right, the random variable X represents the number of his a baseball player obtained in a game over the course of a season. Complete parts (a) through () below. work P(X) 0.1681 1 0.3355 2 0.2843 30.1501 4 0.0377 5 0.0243 20 L Tests dent Activity rkbook ince w between and inclusive, and the of the probabilities is udy Plan (a) Verity that this is a discrete probability distribution This is a discrete probability distribution because (Type whole numbers. Use ascending order) () Draw a graph of the probability distribution Describe the shape of the distribution Graph the probability durition. Choose the correct graph below. radebook 78 1 52 tatCrunch ОА OB oc OD Chapter Contents 04 04 034 024 04 Text a 04 03 021 0.1 27 02 Tools for Success 02 0.11 012345 beros 012345 Multimedia Ubrary 012345 Nuo Numero Describe the shape of the distribution Purchase Options Click to select your answer Discussions Course Tools A 0 s MacBook Pro

Answer 1

(a) Verly that this is a screto probability Gali but all probability This is a discrete probability distribution because are between (Type whole numbers. Use ascending order) 0 and inclusive, and the sum of the probabilities is 1

b)

О. 24 05 02 04 С 0 1 2 3

the distribution is unimodal and skewed to right

c)

x	P(X=x)	xP(x)	x2P(x)
0	0.16810	0.00000	0.00000
1	0.33550	0.33550	0.33550
2	0.28430	0.56860	1.13720
3	0.15010	0.45030	1.35090
4	0.03770	0.15080	0.60320
5	0.02430	0.12150	0.60750
total		1.6267	4.0343
	E(x) =μ=	ΣxP(x) =	1.6267
	E(x2) =	Σx2P(x) =	4.0343
	Var(x)=σ2 =	E(x2)-(E(x))2=	1.3881
	std deviation=	σ= √σ2 =	1.1782

µx =1.6267

option A is correct

d)

σx =1.178

e)

P(X=2)=0.2843

f)

P(X>1 )=0.4964