I need help with probability in the binomial experiment

I need help with probability in the binomial experiment. There is a word document attached to make everything

easier to understand. Also if someone could please let me know if I am doing the calculations correctly or not to find the mean and standard deviation. I have enclosed my answers but I am not sure if I am doing them correctly and need some directions. Thank you. ATTACHMENT PREVIEW Download attachment1.(Complete sentence not necessary; round your answers to three decimal places)P(x=0)0.001P(x=6)0.205P(x=1)0.010P(x=7)0.117P(x=2)0.044P(x=8)0.044P(x=3)0.117P(x=9)0.010P(x=4)0.205P(x=10)0.001P(x=5)0.2462.Give the probability for the following based on the calculations in question above, with theprobability of a success being ½. (Complete sentence not necessary; round your answers tothree decimal places)P(x≥1)P(x<0)P(x>1)P(x≤4)P(4<x ≤7)P(x<4 or x≥7)3.Calculate (by hand) the mean and standard deviation for the binomial distribution with theprobability of a success being ½ and n = 10. Either show work or explain how your answerwas calculated. Use these formulas to do the hand calculations: Mean =np, StandardDeviation =npqMean =np:10 * .50 = 5Standard Deviation =npq: 54.Calculate (by hand) the mean and standard deviation for the binomial distribution with theprobability of a success being ¼ and n = 10. Write a comparison of these statistics to thosefrom question 5 in a short paragraph of several complete sentences. Use these formulas to dothe hand calculations: Mean =np, Standard Deviation =npqMean =np:10 * .25 = 2.5

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