In the film Casino, the leader of the Tangiers Casino, Sam Rothstein (Robert De Niro), terminated the administrator of the gaming machines in the club after three card sharks hit three "million dollar" big stakes in a range of 20 minutes. Rothstein asserted that it was a trick and that someone had gotten into those machines to set the wheels. He was particularly irritated at the gambling machine administrator's affirmation that there was no real way to decide this. As per Rothstein, the chances of hitting a big stake in a four-wheel machine is 1 out of (1/2) million, and the likelihood of hitting three bonanzas straight is " In the billions." " It can't occur! It won't occur! " To perceive any reason why Rothstein was so irate, discover the chances of hitting the bonanzas in three of the machines one after another and remark on the probability of this event.

Leave An and B alone occasions in an examination and assume that P(A) not equivalent to zero.In n preliminaries the occasion A happens m times,the occasion B happens k times,the occasion An and B happen together l occasions.

a)Explain why it settle on sound judgment to decision the proportion l/m the contingent relative recurrence of the occasion B given the occasion A.

b)Show that the general frequencies l/,m/n and l/n fulfill the condition

\4\

l/m=(l/n)/(m/n)

C)Explain why the consequence of part b recommend that the condition P(B/A)=P(A crossing point B)/P(A) is conceivable

Clinical specialists have noticed that young adult females are significantly more prone to convey lowbirth-

weight infants than grown-up females. Since low-birth-weight children have higher mortality

rates, various examinations have inspected the connection between birth weight and mother's

age for infants brought into the world to youthful moms. One such investigation is depicted in the article "Body Size and

Insight in 6-Year-Olds: Are Offspring of Teenage Mothers at Risk?" (Maternal and Child Health Journal [2009]: 847-856). The accompanying information in Table 2 comprises of two factors; x is the

maternal age (in years) and y is birth weight of child (in kilograms) are steady with synopsis

values given in the referred to article and furthermore with information distributed by the National Center for

Wellbeing Statistics.

1 2 3 4 5 6 7 8 9 10

x 15 17 18 15 16 19 17 16 18 19

y 2.29 3.39 3.27 2.64 2.89 3.32 2.97 2.53 3.13 3.57

(I) Find the condition of assessed relapse line

(ii) Predict the birth weight of an infant to be brought into the world to a specific 18-year-old mother to be.

The ages, t long periods of 7 clinic patients and their circulatory strain, p mmHg are appeared in Table 3.

Table 3

a b c d e f g

t 42 74 48 35 56 26 60

p 98 130 120 88 182 80 135

c) Determine the catch of the relapse line right to 3 decimal focuses.

(d) Find the condition of the most un-square relapse of p on t.

(e) Estimate the circulatory strain of a 40-year old patient.