Question Solved1 Answer 2. A coin is weighted so that it has a 70% chance of landing heads up when flipped. We're flipping a coin until we get a head. Let X be the random variable which stets the number of flipping. What type of distribution does X have? Write the probability mass function for X. Find P(X > E(X)).

Help ...will thumbs up :) If a seed is planted, it has a 61% chance of growing into a healthy plant. Let X be the number of seeds grow into healthy plants when 65 seeds are planted. a. What is the distribution of X? X - Bo ( Please show the following answers to 4 decimal places. b. What is the probability that exactly 47 seeds grow into healthy plants? C. What is the probability that less than 47 seeds grow into healthy plants? d. What is the probability that at most 47 seeds grow into healthy plants? e. What is the probability that between 18 and 48 (including 18 and 48) seeds grow into healthy plants? = Assume Binomial Distribution with n = 10 and p = 0.6. Please show your answers to 4 decimal places. P(X 5) = PIX < 5) = P(X < 5) = P(X > 5) = P(x > 5) =

1) a) i) Define what is a vector space. ii) The 2-D Laplace equation: av av + - 0 ax? Əy? ay with appropriate boundary conditions, has a general solution of the type v(x, t) = G(x + iy) + H(x – iy) iii) Let F be a real field. Show that the general solution in part 1) a) ii) forms a vector space over F. (8 + 4 + 4 marks) = ii) The 2-D Laplace equation: a2v av + = 0 Əx2y2 with appropriate boundary conditions, has a general solution of the type v(x, t)=G(x + iy) + H(x – iy) iii) Let F be a real field. Show that the general solution in part 1) a) а ii) forms a vector space over F.

Fať 7 -6+ 62 – 4ac x = xo + vot+ v = vo + at , v2 = võ + 2aAx ,t= 2a Problem 1: A ball is thrown straight up from the ground. The ball reaches a maximum height of 5 m. For simplicity, for this problem, use g 10 m/sec. (a) Calculate the initial speed of the ball. Answer: 10 m/sec. (b) Calculate the time it takes the ball to reach the maximum height of 5 m. Answer: 1 sec. (c) Calculate the time it takes the ball to hit the ground. Answer: 2 sec. (d) Make a sketch of the position vs. time graph for this problem, y(t) vs. t. (e) Calculate the time(s) when the ball is at a height of 3 m above the ground. Answer: t = 0.37 sec and t = 1.63 sec. (f) Calculate the velocity of the ball when the ball is at a height of 3 m above the ground. Answer: v= : +6.3 m/sec for t = 0.37 sec and v -6.3 m/sec for t = 1.63 sec. =

Write a C program to recognize strings under 'a', 'a*b+', 'abb’ (without using switch)Thanks in advance:)

Please can you answer the questions below with written explanations. Thank you we value your time and effort 1) a) i) Define what is a vector space. ii) The 2-D Laplace equation: a2v a2v + əx2 @y2 0 with appropriate boundary conditions, has a general solution of the type = v(x, t) = G(x + iy) + H(x – iy) iii) Let F be a real field. Show that the general solution in part 1) a) ii) forms a vector space over F. (8 + 4 + 4 marks) b) i) Explain briefly what is meant by the transpose A of a matrix A. T ii) Show that (AB)T = BIAT. iii) Hence show that (ABC)T = CTBTAT. = = iv) Give an example of a 2x2 matrix where AAT = AA-1 (3 + 6 + 4 + 4 marks)

Running speed for adult men of a certain age group is known to follow a normal distribution, with mean 6.7 miles per hour and standard deviation 1.3. Jim claims he run faster than 80% of adult men in this age group. What speed would he need to be able to run for this to be the case? Give your answer accurate to two digits past the decimal point.