This problem is a combination of the Poisson distribution and binomial distribution.
First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961
For ALL 20 students to send less than 6 messages, the probability is
P=C(20,20)*0.615961^20*(1-0.615961)^0
=6.18101*10^(-5) or approximately
=0.00006181
It's about the science of predictions that says how the world will be in future . Then, there's also Statistics that also shows the way our world is evolving. Thirdly, forecasting has equal importance in doing that, like town population graphs or cow growth rate. All these use graphs and ratios in order to get a visual information about our enquiries, be it in Medicine, Biology, the Earth movement or the Universe.
Answer:
Can You Mark Brainliest If I get right? I hope this helps! :)
Step-by-step explanation:
Students who prefer punk to
students who prefer hip-hop:
2 to 18
Students who prefer classic rock to the
total number of students surveyed:
4 to 42
Students who prefer rock or classic
rock to students who prefer all other
types of music:
16 to 26
Favorite Music Type Number of Students
Rock 12
Classic rock 4
Hip-hop 18
Punk 2
Heavy metal 6
The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.
<h3>
What is Distance and Displacement ?</h3>
Distance and Displacement both are the measure of the movement of an Object from one point to another.
Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.
Distance travelled will always be positive but Displacement can be positive , negative and zero.
A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure
The missing figure is attached with the answer.
(a) The distance covered by the motorcycle is
2πr = 2 * 3.14 * 5 = 31.4 km
(b) The displacement will be equal to 0 as the starting and the ending point is same.
To know more about Distance and Displacement
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The answer will be yes.
Why?
Well, you know that's it's a linear equation/ function if the exponents are only 1. And by looking at this equation you'll see that there are no exponents other than 1. So the answer is yes, it is a linear equation.