Functions Questions Answers 2

26. Suppose that 58% of all customers of a large insurance agency have automo�le policies with the agency, 42% have homeowner's policies, and 23% have both. What is the probability that the customer has at least one of the policies? j me.. (]( i--hA. ti� br bi)i--1\ P(ttVltJ - P(A-') t-PCl+) 33. A headache remedy is said to be 80% effective in curing headaches caused by simple nervous tension. An investigator tests this remedy on I 00 random! Jected patients suffering from nervous tension. a. What kind of distribution does X have? Binomi r Geometric?) b. Calculate the mean and standard deviation o c. Determine the probability that exactly 80 subjects experience headache relief with this remedy. d. What is the probability that between 75 and 90 (inclusive) of the patients will obtain relief? ()_ I n= 1 IJD p.::. . � 1 n oLtrtni. rvi. rJs f'<\�AX-\ -=- n p � l no {, 8> b, 6 ::: -{np(\-p; c C. . � 'Sb i \�{i�)(.?-'l - 4 P (x P(15-f'Xfqo) � P(XLqo)- P(Xf 74) hlro� f { lot) J ·i ,q o) - blr>1tmtd P (1� /, i 1 7�) ,� b\nrvv'I (qo ) 1 rro r 'a> , q l D ::1_ - pb� { 1Y:_;iub;,�) 23. Suppose that from a group of 9 men and 8 women, a committee of 5 people is to be chosen. a. In how many ways can the committee be chosen? b. In how many ways can the committee be chosen so that there are exactly 3 men� women? c. What is the probability that the committee has exactly 3 men and 2 wome� b. l3 5 ?-- 34. A basketball player completes 64% of her free-throws. We want to observe this player during one game to see how many free-throw attempts she makes before completing one. a. What type of distribution is this? b. What is the probability that the player misses 3 free-throws before she has makes one?� c. How many free-throw attempts can the player expect to throw before she gets a basket? d. Determine the probability that it takes more than 5 attempts before she makes a basket. Q, G--ttrrr\tt-,((, i::"" f; )(.e.J. -ii:. o F=- . �4 ltb ''n ,, f ( \ - pJ� I - P(>C f. :5) = � {• '3�y 3�) {. � klJ (, !, q ) 1 +r-t o..k. 0_ 3ti,)s- .:: , a a t �d { (_. l. t \ I - p�e,ny) { J.f) (ptf) I- it) �i� I P{x> f ].,____d-l-c _L.____l'/# = �J n� (_p - 30. The probabilities that a customer selects l, 2, 3, 4, or 5 itew at a convenience store are 0.32, 0.12, 0.23, 0. 18, and 0.15, respectively. a. Construct a probability di£tribution for the data - ._,. • * 'l 4 I b. Find P'{X > 3.5) = . )� t . 1.( c.. Find P{l.0 < X < 3.0) :;. • l 'l.. d. Find P'(X < 5) :=. . ?> 'd, � Ij .3� t I I�+ ,-;i3+,ti r::::. s I-. IS - .i5 < 12. Of the automobiles pro uccd at a particuJa}... / plant,�had a certain efect. a. What is the probab1 1 that more than SO cars will need to be inspected before one with the defect is found? b. What is the probability that the twentieth car inspected will have a defect? c. Suppose a company purchases five of these cars. What is the probability that exactly one of the five cars has a defect? > l-pgeom(49,.4) (I] 8 .082868e- l 2 R stwiuY l\e_ f> rYl � h- r. c., J LLS.t I h�s �tv- t' G p =: • 4 n c t1£e..d. S"O Q, P (X > s-o ') � (1- .Lf) -I!: of -hri11lr I - p (� L 5"D l ) - fdt()'('{WCd+ {' 4 J s ()) I - t> � t.crm ( tf q .) Y J b. ? ('x = �_D);. ��+?dt- (,41 !l..O) cJ,.. � tNY'\ [ [ q ) • Lf ) C,ho.n �.f s ¼is k> G.- � o)J_ s ft- L bu... r1.-vv\ � Y\ 5 'P(X .:::;- lJ = �m'V'\felt {s ) .� J 1) o..PtnlrW\ {1 .t.!) ===- .I;) 21. What kind of variable? Categorical or quantiiative? If quantitative, discrete or continuous'. a. Score on the final exam (out of I 00 points) as recorded on report card. l :) ) J l ; J •• • • I (1o • !f 1 � U 11 b. Final grade for the course (A, B, C, D, F). c. The amount a person grew (in height) in a year. J . d. The number of classes a student missed. C.(a_ e, } ()...J..( O 1t.l41lf e.,, t \� �n. +, �t-tt hnl.\.!n.A._..J t 7. Five items are selected at random from a production line. What is the probability of exactly 2 defectives if it is known that the probability of a defective item is .05? BtnCITYV--· � 15 trl a1� Lt1 -= 5'J p;: .os +ri61f LhdLpe..WAl.M p C � :;: Q.) :: . b lVl rrAp J t ( S' J s ) �) cl bLri Orn (!). t; D �') I� J } ' Questfon 13 \Vhlch stater:1rer.1t rs r.ot true for ,a b.lnor:nial distribution w.itl:l n = 1.0 .and p = 1/20 ? h��N�t- �YDt?, a v ilui Wi ol olo.mpt @iie !big!best pro'ba'biJjt:,• occurs when x equals 0.5000 b,) Onie oumne:rofuials is equal ro, .LO d) ✓ 0 The probability that x equals n is 0.3 U5 l e) 0 The mean eguals: O .5000. ✓ fJ O No11e of lihe aboYe t/ 1' p .= l l) p [i::: I) � ( yd-t)) :::: 1 1 5" 3I5[ Queslion7 Let A - {2, 9}, B- (9, 12, 28l!, D- {40} and S -silmpre spoce-;\ u Bu D. Identify Ac (i B. a) 0{9'} b) 0{9, 12,28} <:) 0{2, 12,28} d) 0{9,40} f!)c,2,28} ff) 0 Nooe of d:le above.