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S_A_V [24]
3 years ago
10

URGENT help me please

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

Answer:

i have the same thing that im confused on

Step-by-step explanation:

confused help-

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Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1
alexandr1967 [171]

Answer:

a) \simeq 0.3012   b) \simeq 0.0494 c) \simeq 0.2438

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, \frac{1.2}{4}

= 0.3 collisions per  month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

          P(X =x) = \frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}


                                                           for x ∈ N ∪ {0}

                       =  0 otherwise --------------------------------------(1)

here, \lambda = 0.3 collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

         P(X = 0) = \frac{e^{-0.3}\times {\0.3}^{0}}{0!}


                      \simeq 0.7408182207 ------------------------------------(2)

Now, since we are calculating  this for 4 months,

so, P(No collision in 4 month period)

     =0.7408182207^{4}

     \simeq 0.3012  -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

           P(X =1) = \frac{e^{-0.3}\times {\0.3}^{1}}{1!}


                      \simeq 0.2222454662 ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

                =0.2222454662^{2}

                \simeq 0.0494 -----------------------------------------(5)

1 collision in 6 months period means

                                \frac{1}{6} collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6]  (which is to be estimated)

=\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

\simeq 0.6543894283-------------------------------------------(6)

So,

P(1  collision in 6 month period)

  =  0.6543894283^{6}

   \simeq 0.0785267444 ------------------------------------------------(7)

So,

P(No collision in 6 months period)

  = (P(X =0)^{6}

   \simeq 0.1652988882 ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

\simeq  0.2438 ---------------------------------------------(9)          

7 0
3 years ago
write the slope-intercept form of the line with a slope of 2 and a y-intercept of -4. include your work in your final answer.
IgorLugansk [536]
I cant really show you how to graph this but i can try to explain it. you would make a 4 quadrant graph and do rise over run.
1)start by making the graph
2) on the line of the graph marked Y is where you would put -4
3) From -4, you would go up (rise) by 2 and go over to the right 1 where you end is the slop

5 0
3 years ago
Can someone help me find the answer?
raketka [301]

Answer:

AC=9 cm

ABC is not a right angled triangle

Step-by-step explanation:

AB=8cm

BC=5cm

22=AB+BC+AC

AC=22-8-5

AC=9

since AC is the longest,

using Pythagoras theorem

AC^2=BC^2+AB^2

9^2=8^2+5^2

81=64+25

81=89

therefore, it is not a right angled triangle

8 0
3 years ago
Read 2 more answers
Monique is going to draw a net of a triangular pyramid. How many triangles should there be in her​ drawing?
Salsk061 [2.6K]

Answer:

Step-by-step explanation:

8 0
3 years ago
Solve for g in the proportion.<br><br> 42/g = 14/10<br><br> g =
NeX [460]

Cross mutiply. 42*10= 420. 14*g= 14g

14g= 420

divide by 14 for both sides

14g/14= 420/14

g= 30

Check answer by using substitution method

42/30. Divide by 3 . 42/3= 14 , 30/3= 10

14/10 and 14/10 equal to each other by dividing 2.

14/2= 7 , 10/2= 5

7/5= 7/5

Answer: g= 30

6 0
2 years ago
Read 2 more answers
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